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Finding the Third Proportional to 258.47 and 542.53

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Solution

The third proportional to 258.47 and 542.53 is: 1,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.47 : 542.53 = 542.53 : x
  2. Step 2: Convert to fraction form
    258.47/542.53 = 542.53/x
  3. Step 3: Cross multiply
    258.47x = 542.53 × 542.53
  4. Step 4: Simplify right side
    258.47x = 294,340.16
  5. Step 5: Solve for x
    x = 294,340.16/258.47
  6. Step 6: Final answer
    x = 1,138.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.