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Finding the Third Proportional to 138,743 and 303,624

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Solution

The third proportional to 138,743 and 303,624 is: 664,448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,743 : 303,624 = 303,624 : x
  2. Step 2: Convert to fraction form
    138,743/303,624 = 303,624/x
  3. Step 3: Cross multiply
    138,743x = 303,624 × 303,624
  4. Step 4: Simplify right side
    138,743x = 92,187,533,376
  5. Step 5: Solve for x
    x = 92,187,533,376/138,743
  6. Step 6: Final answer
    x = 664,448.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.