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Finding the Third Proportional to 87,770 and 132,428

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Solution

The third proportional to 87,770 and 132,428 is: 199,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,770 : 132,428 = 132,428 : x
  2. Step 2: Convert to fraction form
    87,770/132,428 = 132,428/x
  3. Step 3: Cross multiply
    87,770x = 132,428 × 132,428
  4. Step 4: Simplify right side
    87,770x = 17,537,175,184
  5. Step 5: Solve for x
    x = 17,537,175,184/87,770
  6. Step 6: Final answer
    x = 199,808.31

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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.