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Finding the Third Proportional to 101,988 and 220,922

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Solution

The third proportional to 101,988 and 220,922 is: 478,551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,988 : 220,922 = 220,922 : x
  2. Step 2: Convert to fraction form
    101,988/220,922 = 220,922/x
  3. Step 3: Cross multiply
    101,988x = 220,922 × 220,922
  4. Step 4: Simplify right side
    101,988x = 48,806,530,084
  5. Step 5: Solve for x
    x = 48,806,530,084/101,988
  6. Step 6: Final answer
    x = 478,551.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.