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Finding the Third Proportional to 405,141.75 and 752,464.69

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Solution

The third proportional to 405,141.75 and 752,464.69 is: 1,397,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,141.75 : 752,464.69 = 752,464.69 : x
  2. Step 2: Convert to fraction form
    405,141.75/752,464.69 = 752,464.69/x
  3. Step 3: Cross multiply
    405,141.75x = 752,464.69 × 752,464.69
  4. Step 4: Simplify right side
    405,141.75x = 566,203,105,934.47
  5. Step 5: Solve for x
    x = 566,203,105,934.47/405,141.75
  6. Step 6: Final answer
    x = 1,397,543.22

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.