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Finding the Third Proportional to 157,938 and 345,402

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Solution

The third proportional to 157,938 and 345,402 is: 755,375.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,938 : 345,402 = 345,402 : x
  2. Step 2: Convert to fraction form
    157,938/345,402 = 345,402/x
  3. Step 3: Cross multiply
    157,938x = 345,402 × 345,402
  4. Step 4: Simplify right side
    157,938x = 119,302,541,604
  5. Step 5: Solve for x
    x = 119,302,541,604/157,938
  6. Step 6: Final answer
    x = 755,375.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.