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Finding the Third Proportional to 98,872 and 217,400

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Solution

The third proportional to 98,872 and 217,400 is: 478,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,872 : 217,400 = 217,400 : x
  2. Step 2: Convert to fraction form
    98,872/217,400 = 217,400/x
  3. Step 3: Cross multiply
    98,872x = 217,400 × 217,400
  4. Step 4: Simplify right side
    98,872x = 47,262,760,000
  5. Step 5: Solve for x
    x = 47,262,760,000/98,872
  6. Step 6: Final answer
    x = 478,019.66

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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.