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Finding the Third Proportional to 381,864.38 and 576,690.19

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Solution

The third proportional to 381,864.38 and 576,690.19 is: 870,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,864.38 : 576,690.19 = 576,690.19 : x
  2. Step 2: Convert to fraction form
    381,864.38/576,690.19 = 576,690.19/x
  3. Step 3: Cross multiply
    381,864.38x = 576,690.19 × 576,690.19
  4. Step 4: Simplify right side
    381,864.38x = 332,571,572,358.79
  5. Step 5: Solve for x
    x = 332,571,572,358.79/381,864.38
  6. Step 6: Final answer
    x = 870,915.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.