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Finding the Third Proportional to 157,934 and 345,390

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Solution

The third proportional to 157,934 and 345,390 is: 755,342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,934 : 345,390 = 345,390 : x
  2. Step 2: Convert to fraction form
    157,934/345,390 = 345,390/x
  3. Step 3: Cross multiply
    157,934x = 345,390 × 345,390
  4. Step 4: Simplify right side
    157,934x = 119,294,252,100
  5. Step 5: Solve for x
    x = 119,294,252,100/157,934
  6. Step 6: Final answer
    x = 755,342.43

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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.