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Finding the Third Proportional to 121.75 and 257.13

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Solution

The third proportional to 121.75 and 257.13 is: 543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.75 : 257.13 = 257.13 : x
  2. Step 2: Convert to fraction form
    121.75/257.13 = 257.13/x
  3. Step 3: Cross multiply
    121.75x = 257.13 × 257.13
  4. Step 4: Simplify right side
    121.75x = 66,113.27
  5. Step 5: Solve for x
    x = 66,113.27/121.75
  6. Step 6: Final answer
    x = 543.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.