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Finding the Third Proportional to 87,246 and 138,378

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Solution

The third proportional to 87,246 and 138,378 is: 219,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,246 : 138,378 = 138,378 : x
  2. Step 2: Convert to fraction form
    87,246/138,378 = 138,378/x
  3. Step 3: Cross multiply
    87,246x = 138,378 × 138,378
  4. Step 4: Simplify right side
    87,246x = 19,148,470,884
  5. Step 5: Solve for x
    x = 19,148,470,884/87,246
  6. Step 6: Final answer
    x = 219,476.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.