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Finding the Third Proportional to 317.75 and 461.19

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Solution

The third proportional to 317.75 and 461.19 is: 669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.75 : 461.19 = 461.19 : x
  2. Step 2: Convert to fraction form
    317.75/461.19 = 461.19/x
  3. Step 3: Cross multiply
    317.75x = 461.19 × 461.19
  4. Step 4: Simplify right side
    317.75x = 212,693.91
  5. Step 5: Solve for x
    x = 212,693.91/317.75
  6. Step 6: Final answer
    x = 669.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.