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Finding the Third Proportional to 87,991 and 207,509

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Solution

The third proportional to 87,991 and 207,509 is: 489,368.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,991 : 207,509 = 207,509 : x
  2. Step 2: Convert to fraction form
    87,991/207,509 = 207,509/x
  3. Step 3: Cross multiply
    87,991x = 207,509 × 207,509
  4. Step 4: Simplify right side
    87,991x = 43,059,985,081
  5. Step 5: Solve for x
    x = 43,059,985,081/87,991
  6. Step 6: Final answer
    x = 489,368.06

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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.