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Finding the Third Proportional to 138,374 and 207,562

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Solution

The third proportional to 138,374 and 207,562 is: 311,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,374 : 207,562 = 207,562 : x
  2. Step 2: Convert to fraction form
    138,374/207,562 = 207,562/x
  3. Step 3: Cross multiply
    138,374x = 207,562 × 207,562
  4. Step 4: Simplify right side
    138,374x = 43,081,983,844
  5. Step 5: Solve for x
    x = 43,081,983,844/138,374
  6. Step 6: Final answer
    x = 311,344.50

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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.