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Finding the Third Proportional to 87,173 and 134,701

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Solution

The third proportional to 87,173 and 134,701 is: 208,141.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,173 : 134,701 = 134,701 : x
  2. Step 2: Convert to fraction form
    87,173/134,701 = 134,701/x
  3. Step 3: Cross multiply
    87,173x = 134,701 × 134,701
  4. Step 4: Simplify right side
    87,173x = 18,144,359,401
  5. Step 5: Solve for x
    x = 18,144,359,401/87,173
  6. Step 6: Final answer
    x = 208,141.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.