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Finding the Third Proportional to 68,921 and 103,382

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Solution

The third proportional to 68,921 and 103,382 is: 155,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,921 : 103,382 = 103,382 : x
  2. Step 2: Convert to fraction form
    68,921/103,382 = 103,382/x
  3. Step 3: Cross multiply
    68,921x = 103,382 × 103,382
  4. Step 4: Simplify right side
    68,921x = 10,687,837,924
  5. Step 5: Solve for x
    x = 10,687,837,924/68,921
  6. Step 6: Final answer
    x = 155,073.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.