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Finding the Third Proportional to 138,522 and 303,319

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Solution

The third proportional to 138,522 and 303,319 is: 664,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,522 : 303,319 = 303,319 : x
  2. Step 2: Convert to fraction form
    138,522/303,319 = 303,319/x
  3. Step 3: Cross multiply
    138,522x = 303,319 × 303,319
  4. Step 4: Simplify right side
    138,522x = 92,002,415,761
  5. Step 5: Solve for x
    x = 92,002,415,761/138,522
  6. Step 6: Final answer
    x = 664,171.87

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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.