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Finding the Third Proportional to 410.91 and 878.34

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Solution

The third proportional to 410.91 and 878.34 is: 1,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.91 : 878.34 = 878.34 : x
  2. Step 2: Convert to fraction form
    410.91/878.34 = 878.34/x
  3. Step 3: Cross multiply
    410.91x = 878.34 × 878.34
  4. Step 4: Simplify right side
    410.91x = 771,487.74
  5. Step 5: Solve for x
    x = 771,487.74/410.91
  6. Step 6: Final answer
    x = 1,877.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.