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Finding the Third Proportional to 178,711.31 and 272,256.19

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Solution

The third proportional to 178,711.31 and 272,256.19 is: 414,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,711.31 : 272,256.19 = 272,256.19 : x
  2. Step 2: Convert to fraction form
    178,711.31/272,256.19 = 272,256.19/x
  3. Step 3: Cross multiply
    178,711.31x = 272,256.19 × 272,256.19
  4. Step 4: Simplify right side
    178,711.31x = 74,123,431,632.04
  5. Step 5: Solve for x
    x = 74,123,431,632.04/178,711.31
  6. Step 6: Final answer
    x = 414,766.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.