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Finding the Third Proportional to 157,788 and 231,402

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Solution

The third proportional to 157,788 and 231,402 is: 339,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,788 : 231,402 = 231,402 : x
  2. Step 2: Convert to fraction form
    157,788/231,402 = 231,402/x
  3. Step 3: Cross multiply
    157,788x = 231,402 × 231,402
  4. Step 4: Simplify right side
    157,788x = 53,546,885,604
  5. Step 5: Solve for x
    x = 53,546,885,604/157,788
  6. Step 6: Final answer
    x = 339,359.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.