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Finding the Third Proportional to 157,149 and 339,402

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Solution

The third proportional to 157,149 and 339,402 is: 733,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,149 : 339,402 = 339,402 : x
  2. Step 2: Convert to fraction form
    157,149/339,402 = 339,402/x
  3. Step 3: Cross multiply
    157,149x = 339,402 × 339,402
  4. Step 4: Simplify right side
    157,149x = 115,193,717,604
  5. Step 5: Solve for x
    x = 115,193,717,604/157,149
  6. Step 6: Final answer
    x = 733,022.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.