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Finding the Third Proportional to 86,742 and 129,384

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Solution

The third proportional to 86,742 and 129,384 is: 192,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,742 : 129,384 = 129,384 : x
  2. Step 2: Convert to fraction form
    86,742/129,384 = 129,384/x
  3. Step 3: Cross multiply
    86,742x = 129,384 × 129,384
  4. Step 4: Simplify right side
    86,742x = 16,740,219,456
  5. Step 5: Solve for x
    x = 16,740,219,456/86,742
  6. Step 6: Final answer
    x = 192,988.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.