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Finding the Third Proportional to 242.68 and 519.54

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Solution

The third proportional to 242.68 and 519.54 is: 1,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.68 : 519.54 = 519.54 : x
  2. Step 2: Convert to fraction form
    242.68/519.54 = 519.54/x
  3. Step 3: Cross multiply
    242.68x = 519.54 × 519.54
  4. Step 4: Simplify right side
    242.68x = 269,920.84
  5. Step 5: Solve for x
    x = 269,920.84/242.68
  6. Step 6: Final answer
    x = 1,112.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.