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Finding the Third Proportional to 290,557,034,738 and 408,990,034,011

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Solution

The third proportional to 290,557,034,738 and 408,990,034,011 is: 575,697,119,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,557,034,738 : 408,990,034,011 = 408,990,034,011 : x
  2. Step 2: Convert to fraction form
    290,557,034,738/408,990,034,011 = 408,990,034,011/x
  3. Step 3: Cross multiply
    290,557,034,738x = 408,990,034,011 × 408,990,034,011
  4. Step 4: Simplify right side
    290,557,034,738x = 167,272,847,920,318,925,242,368
  5. Step 5: Solve for x
    x = 167,272,847,920,318,925,242,368/290,557,034,738
  6. Step 6: Final answer
    x = 575,697,119,400.85

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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.