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Finding the Third Proportional to 121.75 and 317.88

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Solution

The third proportional to 121.75 and 317.88 is: 829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.75 : 317.88 = 317.88 : x
  2. Step 2: Convert to fraction form
    121.75/317.88 = 317.88/x
  3. Step 3: Cross multiply
    121.75x = 317.88 × 317.88
  4. Step 4: Simplify right side
    121.75x = 101,044.52
  5. Step 5: Solve for x
    x = 101,044.52/121.75
  6. Step 6: Final answer
    x = 829.93

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.