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Finding the Third Proportional to 290,557,015,731 and 408,990,007,633.52

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Solution

The third proportional to 290,557,015,731 and 408,990,007,633.52 is: 575,697,082,802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,557,015,731 : 408,990,007,633.52 = 408,990,007,633.52 : x
  2. Step 2: Convert to fraction form
    290,557,015,731/408,990,007,633.52 = 408,990,007,633.52/x
  3. Step 3: Cross multiply
    290,557,015,731x = 408,990,007,633.52 × 408,990,007,633.52
  4. Step 4: Simplify right side
    290,557,015,731x = 167,272,826,344,066,758,213,632
  5. Step 5: Solve for x
    x = 167,272,826,344,066,758,213,632/290,557,015,731
  6. Step 6: Final answer
    x = 575,697,082,802.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.