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Finding the Third Proportional to 317.25 and 603

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Solution

The third proportional to 317.25 and 603 is: 1,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.25 : 603 = 603 : x
  2. Step 2: Convert to fraction form
    317.25/603 = 603/x
  3. Step 3: Cross multiply
    317.25x = 603 × 603
  4. Step 4: Simplify right side
    317.25x = 363,609
  5. Step 5: Solve for x
    x = 363,609/317.25
  6. Step 6: Final answer
    x = 1,146.13

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.