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Finding the Third Proportional to 636.61 and 1,371.30

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Solution

The third proportional to 636.61 and 1,371.30 is: 2,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.61 : 1,371.30 = 1,371.30 : x
  2. Step 2: Convert to fraction form
    636.61/1,371.30 = 1,371.30/x
  3. Step 3: Cross multiply
    636.61x = 1,371.30 × 1,371.30
  4. Step 4: Simplify right side
    636.61x = 1,880,476.55
  5. Step 5: Solve for x
    x = 1,880,476.55/636.61
  6. Step 6: Final answer
    x = 2,953.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.