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Finding the Third Proportional to 98,920 and 219,952

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Solution

The third proportional to 98,920 and 219,952 is: 489,070.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,920 : 219,952 = 219,952 : x
  2. Step 2: Convert to fraction form
    98,920/219,952 = 219,952/x
  3. Step 3: Cross multiply
    98,920x = 219,952 × 219,952
  4. Step 4: Simplify right side
    98,920x = 48,378,882,304
  5. Step 5: Solve for x
    x = 48,378,882,304/98,920
  6. Step 6: Final answer
    x = 489,070.79

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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.