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Finding the Third Proportional to 636.47 and 1,353.66

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Solution

The third proportional to 636.47 and 1,353.66 is: 2,878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.47 : 1,353.66 = 1,353.66 : x
  2. Step 2: Convert to fraction form
    636.47/1,353.66 = 1,353.66/x
  3. Step 3: Cross multiply
    636.47x = 1,353.66 × 1,353.66
  4. Step 4: Simplify right side
    636.47x = 1,832,385.24
  5. Step 5: Solve for x
    x = 1,832,385.24/636.47
  6. Step 6: Final answer
    x = 2,878.99

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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.