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Finding the Third Proportional to 81,877 and 130,197

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Solution

The third proportional to 81,877 and 130,197 is: 207,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,877 : 130,197 = 130,197 : x
  2. Step 2: Convert to fraction form
    81,877/130,197 = 130,197/x
  3. Step 3: Cross multiply
    81,877x = 130,197 × 130,197
  4. Step 4: Simplify right side
    81,877x = 16,951,258,809
  5. Step 5: Solve for x
    x = 16,951,258,809/81,877
  6. Step 6: Final answer
    x = 207,033.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.