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Finding the Third Proportional to 138,986 and 271,060

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Solution

The third proportional to 138,986 and 271,060 is: 528,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,986 : 271,060 = 271,060 : x
  2. Step 2: Convert to fraction form
    138,986/271,060 = 271,060/x
  3. Step 3: Cross multiply
    138,986x = 271,060 × 271,060
  4. Step 4: Simplify right side
    138,986x = 73,473,523,600
  5. Step 5: Solve for x
    x = 73,473,523,600/138,986
  6. Step 6: Final answer
    x = 528,639.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.