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Finding the Third Proportional to 1,177.50 and 2,511.19

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Solution

The third proportional to 1,177.50 and 2,511.19 is: 5,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.50 : 2,511.19 = 2,511.19 : x
  2. Step 2: Convert to fraction form
    1,177.50/2,511.19 = 2,511.19/x
  3. Step 3: Cross multiply
    1,177.50x = 2,511.19 × 2,511.19
  4. Step 4: Simplify right side
    1,177.50x = 6,306,062.66
  5. Step 5: Solve for x
    x = 6,306,062.66/1,177.50
  6. Step 6: Final answer
    x = 5,355.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.