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Finding the Third Proportional to 542.75 and 829.38

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Solution

The third proportional to 542.75 and 829.38 is: 1,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 829.38 = 829.38 : x
  2. Step 2: Convert to fraction form
    542.75/829.38 = 829.38/x
  3. Step 3: Cross multiply
    542.75x = 829.38 × 829.38
  4. Step 4: Simplify right side
    542.75x = 687,862.89
  5. Step 5: Solve for x
    x = 687,862.89/542.75
  6. Step 6: Final answer
    x = 1,267.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.