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Finding the Third Proportional to 87,970 and 132,707

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Solution

The third proportional to 87,970 and 132,707 is: 200,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,970 : 132,707 = 132,707 : x
  2. Step 2: Convert to fraction form
    87,970/132,707 = 132,707/x
  3. Step 3: Cross multiply
    87,970x = 132,707 × 132,707
  4. Step 4: Simplify right side
    87,970x = 17,611,147,849
  5. Step 5: Solve for x
    x = 17,611,147,849/87,970
  6. Step 6: Final answer
    x = 200,194.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.