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Finding the Third Proportional to 98,772 and 217,320

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Solution

The third proportional to 98,772 and 217,320 is: 478,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,772 : 217,320 = 217,320 : x
  2. Step 2: Convert to fraction form
    98,772/217,320 = 217,320/x
  3. Step 3: Cross multiply
    98,772x = 217,320 × 217,320
  4. Step 4: Simplify right side
    98,772x = 47,227,982,400
  5. Step 5: Solve for x
    x = 47,227,982,400/98,772
  6. Step 6: Final answer
    x = 478,151.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.