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Finding the Third Proportional to 87,980 and 207,478

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Solution

The third proportional to 87,980 and 207,478 is: 489,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,980 : 207,478 = 207,478 : x
  2. Step 2: Convert to fraction form
    87,980/207,478 = 207,478/x
  3. Step 3: Cross multiply
    87,980x = 207,478 × 207,478
  4. Step 4: Simplify right side
    87,980x = 43,047,120,484
  5. Step 5: Solve for x
    x = 43,047,120,484/87,980
  6. Step 6: Final answer
    x = 489,283.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.