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Finding the Third Proportional to 62,302 and 132,760.50

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Solution

The third proportional to 62,302 and 132,760.50 is: 282,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,302 : 132,760.50 = 132,760.50 : x
  2. Step 2: Convert to fraction form
    62,302/132,760.50 = 132,760.50/x
  3. Step 3: Cross multiply
    62,302x = 132,760.50 × 132,760.50
  4. Step 4: Simplify right side
    62,302x = 17,625,350,360.25
  5. Step 5: Solve for x
    x = 17,625,350,360.25/62,302
  6. Step 6: Final answer
    x = 282,901.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.