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Finding the Third Proportional to 66,540 and 100,080

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Solution

The third proportional to 66,540 and 100,080 is: 150,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,540 : 100,080 = 100,080 : x
  2. Step 2: Convert to fraction form
    66,540/100,080 = 100,080/x
  3. Step 3: Cross multiply
    66,540x = 100,080 × 100,080
  4. Step 4: Simplify right side
    66,540x = 10,016,006,400
  5. Step 5: Solve for x
    x = 10,016,006,400/66,540
  6. Step 6: Final answer
    x = 150,526.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.