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Finding the Third Proportional to 129,724 and 193,782

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Solution

The third proportional to 129,724 and 193,782 is: 289,471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,724 : 193,782 = 193,782 : x
  2. Step 2: Convert to fraction form
    129,724/193,782 = 193,782/x
  3. Step 3: Cross multiply
    129,724x = 193,782 × 193,782
  4. Step 4: Simplify right side
    129,724x = 37,551,463,524
  5. Step 5: Solve for x
    x = 37,551,463,524/129,724
  6. Step 6: Final answer
    x = 289,471.98

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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.