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Finding the Third Proportional to 157,042 and 345,188

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Solution

The third proportional to 157,042 and 345,188 is: 758,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,042 : 345,188 = 345,188 : x
  2. Step 2: Convert to fraction form
    157,042/345,188 = 345,188/x
  3. Step 3: Cross multiply
    157,042x = 345,188 × 345,188
  4. Step 4: Simplify right side
    157,042x = 119,154,755,344
  5. Step 5: Solve for x
    x = 119,154,755,344/157,042
  6. Step 6: Final answer
    x = 758,744.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.