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Finding the Third Proportional to 242.65 and 371.18

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Solution

The third proportional to 242.65 and 371.18 is: 567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.65 : 371.18 = 371.18 : x
  2. Step 2: Convert to fraction form
    242.65/371.18 = 371.18/x
  3. Step 3: Cross multiply
    242.65x = 371.18 × 371.18
  4. Step 4: Simplify right side
    242.65x = 137,774.36
  5. Step 5: Solve for x
    x = 137,774.36/242.65
  6. Step 6: Final answer
    x = 567.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.