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Finding the Third Proportional to 157,292 and 339,612

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Solution

The third proportional to 157,292 and 339,612 is: 733,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,292 : 339,612 = 339,612 : x
  2. Step 2: Convert to fraction form
    157,292/339,612 = 339,612/x
  3. Step 3: Cross multiply
    157,292x = 339,612 × 339,612
  4. Step 4: Simplify right side
    157,292x = 115,336,310,544
  5. Step 5: Solve for x
    x = 115,336,310,544/157,292
  6. Step 6: Final answer
    x = 733,262.41

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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.