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Finding the Third Proportional to 157,767 and 339,591

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Solution

The third proportional to 157,767 and 339,591 is: 730,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,767 : 339,591 = 339,591 : x
  2. Step 2: Convert to fraction form
    157,767/339,591 = 339,591/x
  3. Step 3: Cross multiply
    157,767x = 339,591 × 339,591
  4. Step 4: Simplify right side
    157,767x = 115,322,047,281
  5. Step 5: Solve for x
    x = 115,322,047,281/157,767
  6. Step 6: Final answer
    x = 730,964.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.