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Finding the Third Proportional to 717.61 and 1,576.18

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Solution

The third proportional to 717.61 and 1,576.18 is: 3,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.61 : 1,576.18 = 1,576.18 : x
  2. Step 2: Convert to fraction form
    717.61/1,576.18 = 1,576.18/x
  3. Step 3: Cross multiply
    717.61x = 1,576.18 × 1,576.18
  4. Step 4: Simplify right side
    717.61x = 2,484,336.25
  5. Step 5: Solve for x
    x = 2,484,336.25/717.61
  6. Step 6: Final answer
    x = 3,461.96

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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.