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Finding the Third Proportional to 317.16 and 747.24

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Solution

The third proportional to 317.16 and 747.24 is: 1,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.16 : 747.24 = 747.24 : x
  2. Step 2: Convert to fraction form
    317.16/747.24 = 747.24/x
  3. Step 3: Cross multiply
    317.16x = 747.24 × 747.24
  4. Step 4: Simplify right side
    317.16x = 558,371.80
  5. Step 5: Solve for x
    x = 558,371.80/317.16
  6. Step 6: Final answer
    x = 1,760.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.