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Finding the Third Proportional to 61,540 and 145,188

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Solution

The third proportional to 61,540 and 145,188 is: 342,534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,540 : 145,188 = 145,188 : x
  2. Step 2: Convert to fraction form
    61,540/145,188 = 145,188/x
  3. Step 3: Cross multiply
    61,540x = 145,188 × 145,188
  4. Step 4: Simplify right side
    61,540x = 21,079,555,344
  5. Step 5: Solve for x
    x = 21,079,555,344/61,540
  6. Step 6: Final answer
    x = 342,534.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.