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Finding the Third Proportional to 69,217 and 98,980

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Solution

The third proportional to 69,217 and 98,980 is: 141,540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,217 : 98,980 = 98,980 : x
  2. Step 2: Convert to fraction form
    69,217/98,980 = 98,980/x
  3. Step 3: Cross multiply
    69,217x = 98,980 × 98,980
  4. Step 4: Simplify right side
    69,217x = 9,797,040,400
  5. Step 5: Solve for x
    x = 9,797,040,400/69,217
  6. Step 6: Final answer
    x = 141,540.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.