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Finding the Third Proportional to 742.17 and 1,631.71

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Solution

The third proportional to 742.17 and 1,631.71 is: 3,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.17 : 1,631.71 = 1,631.71 : x
  2. Step 2: Convert to fraction form
    742.17/1,631.71 = 1,631.71/x
  3. Step 3: Cross multiply
    742.17x = 1,631.71 × 1,631.71
  4. Step 4: Simplify right side
    742.17x = 2,662,467.84
  5. Step 5: Solve for x
    x = 2,662,467.84/742.17
  6. Step 6: Final answer
    x = 3,587.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.