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Finding the Third Proportional to 527.78 and 812.42

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Solution

The third proportional to 527.78 and 812.42 is: 1,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.78 : 812.42 = 812.42 : x
  2. Step 2: Convert to fraction form
    527.78/812.42 = 812.42/x
  3. Step 3: Cross multiply
    527.78x = 812.42 × 812.42
  4. Step 4: Simplify right side
    527.78x = 660,029.30
  5. Step 5: Solve for x
    x = 660,029.30/527.78
  6. Step 6: Final answer
    x = 1,250.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.