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Finding the Third Proportional to 87,972 and 132,710

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Solution

The third proportional to 87,972 and 132,710 is: 200,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,972 : 132,710 = 132,710 : x
  2. Step 2: Convert to fraction form
    87,972/132,710 = 132,710/x
  3. Step 3: Cross multiply
    87,972x = 132,710 × 132,710
  4. Step 4: Simplify right side
    87,972x = 17,611,944,100
  5. Step 5: Solve for x
    x = 17,611,944,100/87,972
  6. Step 6: Final answer
    x = 200,199.43

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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.