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Finding the Third Proportional to 242.91 and 382.97

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Solution

The third proportional to 242.91 and 382.97 is: 603.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.91 : 382.97 = 382.97 : x
  2. Step 2: Convert to fraction form
    242.91/382.97 = 382.97/x
  3. Step 3: Cross multiply
    242.91x = 382.97 × 382.97
  4. Step 4: Simplify right side
    242.91x = 146,665.06
  5. Step 5: Solve for x
    x = 146,665.06/242.91
  6. Step 6: Final answer
    x = 603.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.