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Finding the Third Proportional to 138,864 and 207,380

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Solution

The third proportional to 138,864 and 207,380 is: 309,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,864 : 207,380 = 207,380 : x
  2. Step 2: Convert to fraction form
    138,864/207,380 = 207,380/x
  3. Step 3: Cross multiply
    138,864x = 207,380 × 207,380
  4. Step 4: Simplify right side
    138,864x = 43,006,464,400
  5. Step 5: Solve for x
    x = 43,006,464,400/138,864
  6. Step 6: Final answer
    x = 309,702.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.