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Finding the Third Proportional to 1,197.91 and 2,538.21

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Solution

The third proportional to 1,197.91 and 2,538.21 is: 5,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.91 : 2,538.21 = 2,538.21 : x
  2. Step 2: Convert to fraction form
    1,197.91/2,538.21 = 2,538.21/x
  3. Step 3: Cross multiply
    1,197.91x = 2,538.21 × 2,538.21
  4. Step 4: Simplify right side
    1,197.91x = 6,442,514.76
  5. Step 5: Solve for x
    x = 6,442,514.76/1,197.91
  6. Step 6: Final answer
    x = 5,378.11

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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.