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Finding the Third Proportional to 86,892 and 129,954

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Solution

The third proportional to 86,892 and 129,954 is: 194,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,892 : 129,954 = 129,954 : x
  2. Step 2: Convert to fraction form
    86,892/129,954 = 129,954/x
  3. Step 3: Cross multiply
    86,892x = 129,954 × 129,954
  4. Step 4: Simplify right side
    86,892x = 16,888,042,116
  5. Step 5: Solve for x
    x = 16,888,042,116/86,892
  6. Step 6: Final answer
    x = 194,356.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.