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Finding the Third Proportional to 87,480 and 187,396

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Solution

The third proportional to 87,480 and 187,396 is: 401,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,480 : 187,396 = 187,396 : x
  2. Step 2: Convert to fraction form
    87,480/187,396 = 187,396/x
  3. Step 3: Cross multiply
    87,480x = 187,396 × 187,396
  4. Step 4: Simplify right side
    87,480x = 35,117,260,816
  5. Step 5: Solve for x
    x = 35,117,260,816/87,480
  6. Step 6: Final answer
    x = 401,431.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.