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Finding the Third Proportional to 97,540 and 132,480

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Solution

The third proportional to 97,540 and 132,480 is: 179,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,540 : 132,480 = 132,480 : x
  2. Step 2: Convert to fraction form
    97,540/132,480 = 132,480/x
  3. Step 3: Cross multiply
    97,540x = 132,480 × 132,480
  4. Step 4: Simplify right side
    97,540x = 17,550,950,400
  5. Step 5: Solve for x
    x = 17,550,950,400/97,540
  6. Step 6: Final answer
    x = 179,935.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.