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Finding the Third Proportional to 67,921 and 149,287

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Solution

The third proportional to 67,921 and 149,287 is: 328,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,921 : 149,287 = 149,287 : x
  2. Step 2: Convert to fraction form
    67,921/149,287 = 149,287/x
  3. Step 3: Cross multiply
    67,921x = 149,287 × 149,287
  4. Step 4: Simplify right side
    67,921x = 22,286,608,369
  5. Step 5: Solve for x
    x = 22,286,608,369/67,921
  6. Step 6: Final answer
    x = 328,125.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.