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Finding the Third Proportional to 68,280 and 103,374

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Solution

The third proportional to 68,280 and 103,374 is: 156,505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,280 : 103,374 = 103,374 : x
  2. Step 2: Convert to fraction form
    68,280/103,374 = 103,374/x
  3. Step 3: Cross multiply
    68,280x = 103,374 × 103,374
  4. Step 4: Simplify right side
    68,280x = 10,686,183,876
  5. Step 5: Solve for x
    x = 10,686,183,876/68,280
  6. Step 6: Final answer
    x = 156,505.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.