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Finding the Third Proportional to 407.11 and 861.05

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Solution

The third proportional to 407.11 and 861.05 is: 1,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.11 : 861.05 = 861.05 : x
  2. Step 2: Convert to fraction form
    407.11/861.05 = 861.05/x
  3. Step 3: Cross multiply
    407.11x = 861.05 × 861.05
  4. Step 4: Simplify right side
    407.11x = 741,401.72
  5. Step 5: Solve for x
    x = 741,401.72/407.11
  6. Step 6: Final answer
    x = 1,821.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.