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Finding the Third Proportional to 138,931 and 303,549

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Solution

The third proportional to 138,931 and 303,549 is: 663,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,931 : 303,549 = 303,549 : x
  2. Step 2: Convert to fraction form
    138,931/303,549 = 303,549/x
  3. Step 3: Cross multiply
    138,931x = 303,549 × 303,549
  4. Step 4: Simplify right side
    138,931x = 92,141,995,401
  5. Step 5: Solve for x
    x = 92,141,995,401/138,931
  6. Step 6: Final answer
    x = 663,221.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.