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Finding the Third Proportional to 98,976 and 220,032

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Solution

The third proportional to 98,976 and 220,032 is: 489,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,976 : 220,032 = 220,032 : x
  2. Step 2: Convert to fraction form
    98,976/220,032 = 220,032/x
  3. Step 3: Cross multiply
    98,976x = 220,032 × 220,032
  4. Step 4: Simplify right side
    98,976x = 48,414,081,024
  5. Step 5: Solve for x
    x = 48,414,081,024/98,976
  6. Step 6: Final answer
    x = 489,149.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.