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Finding the Third Proportional to 406.43 and 876.87

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Solution

The third proportional to 406.43 and 876.87 is: 1,891.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.43 : 876.87 = 876.87 : x
  2. Step 2: Convert to fraction form
    406.43/876.87 = 876.87/x
  3. Step 3: Cross multiply
    406.43x = 876.87 × 876.87
  4. Step 4: Simplify right side
    406.43x = 768,896.06
  5. Step 5: Solve for x
    x = 768,896.06/406.43
  6. Step 6: Final answer
    x = 1,891.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.