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Finding the Third Proportional to 242.58 and 519.33

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Solution

The third proportional to 242.58 and 519.33 is: 1,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.58 : 519.33 = 519.33 : x
  2. Step 2: Convert to fraction form
    242.58/519.33 = 519.33/x
  3. Step 3: Cross multiply
    242.58x = 519.33 × 519.33
  4. Step 4: Simplify right side
    242.58x = 269,701.70
  5. Step 5: Solve for x
    x = 269,701.70/242.58
  6. Step 6: Final answer
    x = 1,111.81

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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.