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Finding the Third Proportional to 774.28 and 1,672.59

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Solution

The third proportional to 774.28 and 1,672.59 is: 3,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.28 : 1,672.59 = 1,672.59 : x
  2. Step 2: Convert to fraction form
    774.28/1,672.59 = 1,672.59/x
  3. Step 3: Cross multiply
    774.28x = 1,672.59 × 1,672.59
  4. Step 4: Simplify right side
    774.28x = 2,797,569.85
  5. Step 5: Solve for x
    x = 2,797,569.85/774.28
  6. Step 6: Final answer
    x = 3,613.12

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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.