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Finding the Third Proportional to 87,339 and 187,143

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Solution

The third proportional to 87,339 and 187,143 is: 400,995.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,339 : 187,143 = 187,143 : x
  2. Step 2: Convert to fraction form
    87,339/187,143 = 187,143/x
  3. Step 3: Cross multiply
    87,339x = 187,143 × 187,143
  4. Step 4: Simplify right side
    87,339x = 35,022,502,449
  5. Step 5: Solve for x
    x = 35,022,502,449/87,339
  6. Step 6: Final answer
    x = 400,995.00

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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.