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Finding the Third Proportional to 527.75 and 781.38

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Solution

The third proportional to 527.75 and 781.38 is: 1,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.75 : 781.38 = 781.38 : x
  2. Step 2: Convert to fraction form
    527.75/781.38 = 781.38/x
  3. Step 3: Cross multiply
    527.75x = 781.38 × 781.38
  4. Step 4: Simplify right side
    527.75x = 610,546.89
  5. Step 5: Solve for x
    x = 610,546.89/527.75
  6. Step 6: Final answer
    x = 1,156.89

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.