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Finding the Third Proportional to 67,142 and 138,604

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Solution

The third proportional to 67,142 and 138,604 is: 286,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,142 : 138,604 = 138,604 : x
  2. Step 2: Convert to fraction form
    67,142/138,604 = 138,604/x
  3. Step 3: Cross multiply
    67,142x = 138,604 × 138,604
  4. Step 4: Simplify right side
    67,142x = 19,211,068,816
  5. Step 5: Solve for x
    x = 19,211,068,816/67,142
  6. Step 6: Final answer
    x = 286,125.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.