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Finding the Third Proportional to 243,299 and 387,431

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Solution

The third proportional to 243,299 and 387,431 is: 616,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,299 : 387,431 = 387,431 : x
  2. Step 2: Convert to fraction form
    243,299/387,431 = 387,431/x
  3. Step 3: Cross multiply
    243,299x = 387,431 × 387,431
  4. Step 4: Simplify right side
    243,299x = 150,102,779,761
  5. Step 5: Solve for x
    x = 150,102,779,761/243,299
  6. Step 6: Final answer
    x = 616,947.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.