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Finding the Third Proportional to 129,494 and 189,597

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Solution

The third proportional to 129,494 and 189,597 is: 277,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,494 : 189,597 = 189,597 : x
  2. Step 2: Convert to fraction form
    129,494/189,597 = 189,597/x
  3. Step 3: Cross multiply
    129,494x = 189,597 × 189,597
  4. Step 4: Simplify right side
    129,494x = 35,947,022,409
  5. Step 5: Solve for x
    x = 35,947,022,409/129,494
  6. Step 6: Final answer
    x = 277,596.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.