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Finding the Third Proportional to 243.75 and 316.22

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Solution

The third proportional to 243.75 and 316.22 is: 410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.75 : 316.22 = 316.22 : x
  2. Step 2: Convert to fraction form
    243.75/316.22 = 316.22/x
  3. Step 3: Cross multiply
    243.75x = 316.22 × 316.22
  4. Step 4: Simplify right side
    243.75x = 99,994.30
  5. Step 5: Solve for x
    x = 99,994.30/243.75
  6. Step 6: Final answer
    x = 410.23

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.