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Finding the Third Proportional to 75,380 and 102,374

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Solution

The third proportional to 75,380 and 102,374 is: 139,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,380 : 102,374 = 102,374 : x
  2. Step 2: Convert to fraction form
    75,380/102,374 = 102,374/x
  3. Step 3: Cross multiply
    75,380x = 102,374 × 102,374
  4. Step 4: Simplify right side
    75,380x = 10,480,435,876
  5. Step 5: Solve for x
    x = 10,480,435,876/75,380
  6. Step 6: Final answer
    x = 139,034.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.