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Finding the Third Proportional to 399.15 and 881.82

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Solution

The third proportional to 399.15 and 881.82 is: 1,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.15 : 881.82 = 881.82 : x
  2. Step 2: Convert to fraction form
    399.15/881.82 = 881.82/x
  3. Step 3: Cross multiply
    399.15x = 881.82 × 881.82
  4. Step 4: Simplify right side
    399.15x = 777,613.95
  5. Step 5: Solve for x
    x = 777,613.95/399.15
  6. Step 6: Final answer
    x = 1,948.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.