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Finding the Third Proportional to 101,306 and 220,448

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Solution

The third proportional to 101,306 and 220,448 is: 479,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,306 : 220,448 = 220,448 : x
  2. Step 2: Convert to fraction form
    101,306/220,448 = 220,448/x
  3. Step 3: Cross multiply
    101,306x = 220,448 × 220,448
  4. Step 4: Simplify right side
    101,306x = 48,597,320,704
  5. Step 5: Solve for x
    x = 48,597,320,704/101,306
  6. Step 6: Final answer
    x = 479,708.22

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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.