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Finding the Third Proportional to 87,310 and 187,364

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Solution

The third proportional to 87,310 and 187,364 is: 402,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,310 : 187,364 = 187,364 : x
  2. Step 2: Convert to fraction form
    87,310/187,364 = 187,364/x
  3. Step 3: Cross multiply
    87,310x = 187,364 × 187,364
  4. Step 4: Simplify right side
    87,310x = 35,105,268,496
  5. Step 5: Solve for x
    x = 35,105,268,496/87,310
  6. Step 6: Final answer
    x = 402,076.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.