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Finding the Third Proportional to 407.44 and 878.19

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Solution

The third proportional to 407.44 and 878.19 is: 1,892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.44 : 878.19 = 878.19 : x
  2. Step 2: Convert to fraction form
    407.44/878.19 = 878.19/x
  3. Step 3: Cross multiply
    407.44x = 878.19 × 878.19
  4. Step 4: Simplify right side
    407.44x = 771,213.29
  5. Step 5: Solve for x
    x = 771,213.29/407.44
  6. Step 6: Final answer
    x = 1,892.84

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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.