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Finding the Third Proportional to 138,877 and 183,847

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Solution

The third proportional to 138,877 and 183,847 is: 243,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,877 : 183,847 = 183,847 : x
  2. Step 2: Convert to fraction form
    138,877/183,847 = 183,847/x
  3. Step 3: Cross multiply
    138,877x = 183,847 × 183,847
  4. Step 4: Simplify right side
    138,877x = 33,799,719,409
  5. Step 5: Solve for x
    x = 33,799,719,409/138,877
  6. Step 6: Final answer
    x = 243,378.81

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.