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Finding the Third Proportional to 138,471.19 and 198,001.13

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Solution

The third proportional to 138,471.19 and 198,001.13 is: 283,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,471.19 : 198,001.13 = 198,001.13 : x
  2. Step 2: Convert to fraction form
    138,471.19/198,001.13 = 198,001.13/x
  3. Step 3: Cross multiply
    138,471.19x = 198,001.13 × 198,001.13
  4. Step 4: Simplify right side
    138,471.19x = 39,204,445,501.27
  5. Step 5: Solve for x
    x = 39,204,445,501.27/138,471.19
  6. Step 6: Final answer
    x = 283,123.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.