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Finding the Third Proportional to 258.05 and 522.42

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Solution

The third proportional to 258.05 and 522.42 is: 1,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.05 : 522.42 = 522.42 : x
  2. Step 2: Convert to fraction form
    258.05/522.42 = 522.42/x
  3. Step 3: Cross multiply
    258.05x = 522.42 × 522.42
  4. Step 4: Simplify right side
    258.05x = 272,924.62
  5. Step 5: Solve for x
    x = 272,924.62/258.05
  6. Step 6: Final answer
    x = 1,057.66

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.