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Finding the Third Proportional to 67,988 and 149,422

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Solution

The third proportional to 67,988 and 149,422 is: 328,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,988 : 149,422 = 149,422 : x
  2. Step 2: Convert to fraction form
    67,988/149,422 = 149,422/x
  3. Step 3: Cross multiply
    67,988x = 149,422 × 149,422
  4. Step 4: Simplify right side
    67,988x = 22,326,934,084
  5. Step 5: Solve for x
    x = 22,326,934,084/67,988
  6. Step 6: Final answer
    x = 328,395.22

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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.