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Finding the Third Proportional to 101,317 and 220,472

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Solution

The third proportional to 101,317 and 220,472 is: 479,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,317 : 220,472 = 220,472 : x
  2. Step 2: Convert to fraction form
    101,317/220,472 = 220,472/x
  3. Step 3: Cross multiply
    101,317x = 220,472 × 220,472
  4. Step 4: Simplify right side
    101,317x = 48,607,902,784
  5. Step 5: Solve for x
    x = 48,607,902,784/101,317
  6. Step 6: Final answer
    x = 479,760.58

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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.