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Finding the Third Proportional to 242.19 and 351.88

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Solution

The third proportional to 242.19 and 351.88 is: 511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.19 : 351.88 = 351.88 : x
  2. Step 2: Convert to fraction form
    242.19/351.88 = 351.88/x
  3. Step 3: Cross multiply
    242.19x = 351.88 × 351.88
  4. Step 4: Simplify right side
    242.19x = 123,816.02
  5. Step 5: Solve for x
    x = 123,816.02/242.19
  6. Step 6: Final answer
    x = 511.24

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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.