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Finding the Third Proportional to 10,332 and 22,812

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Solution

The third proportional to 10,332 and 22,812 is: 50,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332 : 22,812 = 22,812 : x
  2. Step 2: Convert to fraction form
    10,332/22,812 = 22,812/x
  3. Step 3: Cross multiply
    10,332x = 22,812 × 22,812
  4. Step 4: Simplify right side
    10,332x = 520,387,344
  5. Step 5: Solve for x
    x = 520,387,344/10,332
  6. Step 6: Final answer
    x = 50,366.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.