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Finding the Third Proportional to 87,173 and 187,639

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Solution

The third proportional to 87,173 and 187,639 is: 403,891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,173 : 187,639 = 187,639 : x
  2. Step 2: Convert to fraction form
    87,173/187,639 = 187,639/x
  3. Step 3: Cross multiply
    87,173x = 187,639 × 187,639
  4. Step 4: Simplify right side
    87,173x = 35,208,394,321
  5. Step 5: Solve for x
    x = 35,208,394,321/87,173
  6. Step 6: Final answer
    x = 403,891.05

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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.