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Finding the Third Proportional to 1,139.85 and 2,461.96

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Solution

The third proportional to 1,139.85 and 2,461.96 is: 5,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.85 : 2,461.96 = 2,461.96 : x
  2. Step 2: Convert to fraction form
    1,139.85/2,461.96 = 2,461.96/x
  3. Step 3: Cross multiply
    1,139.85x = 2,461.96 × 2,461.96
  4. Step 4: Simplify right side
    1,139.85x = 6,061,232.42
  5. Step 5: Solve for x
    x = 6,061,232.42/1,139.85
  6. Step 6: Final answer
    x = 5,317.55

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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.