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Finding the Third Proportional to 157,781.25 and 342,009

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Solution

The third proportional to 157,781.25 and 342,009 is: 741,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,781.25 : 342,009 = 342,009 : x
  2. Step 2: Convert to fraction form
    157,781.25/342,009 = 342,009/x
  3. Step 3: Cross multiply
    157,781.25x = 342,009 × 342,009
  4. Step 4: Simplify right side
    157,781.25x = 116,970,156,081
  5. Step 5: Solve for x
    x = 116,970,156,081/157,781.25
  6. Step 6: Final answer
    x = 741,343.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.