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Finding the Third Proportional to 138,415.50 and 207,624

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Solution

The third proportional to 138,415.50 and 207,624 is: 311,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,415.50 : 207,624 = 207,624 : x
  2. Step 2: Convert to fraction form
    138,415.50/207,624 = 207,624/x
  3. Step 3: Cross multiply
    138,415.50x = 207,624 × 207,624
  4. Step 4: Simplify right side
    138,415.50x = 43,107,725,376
  5. Step 5: Solve for x
    x = 43,107,725,376/138,415.50
  6. Step 6: Final answer
    x = 311,437.13

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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.