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Finding the Third Proportional to 45,279 and 98,972

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Solution

The third proportional to 45,279 and 98,972 is: 216,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,279 : 98,972 = 98,972 : x
  2. Step 2: Convert to fraction form
    45,279/98,972 = 98,972/x
  3. Step 3: Cross multiply
    45,279x = 98,972 × 98,972
  4. Step 4: Simplify right side
    45,279x = 9,795,456,784
  5. Step 5: Solve for x
    x = 9,795,456,784/45,279
  6. Step 6: Final answer
    x = 216,335.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.