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Finding the Third Proportional to 87,709.50 and 136,692

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Solution

The third proportional to 87,709.50 and 136,692 is: 213,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,709.50 : 136,692 = 136,692 : x
  2. Step 2: Convert to fraction form
    87,709.50/136,692 = 136,692/x
  3. Step 3: Cross multiply
    87,709.50x = 136,692 × 136,692
  4. Step 4: Simplify right side
    87,709.50x = 18,684,702,864
  5. Step 5: Solve for x
    x = 18,684,702,864/87,709.50
  6. Step 6: Final answer
    x = 213,029.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.