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Finding the Third Proportional to 157,336 and 339,550

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Solution

The third proportional to 157,336 and 339,550 is: 732,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,336 : 339,550 = 339,550 : x
  2. Step 2: Convert to fraction form
    157,336/339,550 = 339,550/x
  3. Step 3: Cross multiply
    157,336x = 339,550 × 339,550
  4. Step 4: Simplify right side
    157,336x = 115,294,202,500
  5. Step 5: Solve for x
    x = 115,294,202,500/157,336
  6. Step 6: Final answer
    x = 732,789.71

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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.