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Finding the Third Proportional to 378.74 and 526.82

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Solution

The third proportional to 378.74 and 526.82 is: 732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.74 : 526.82 = 526.82 : x
  2. Step 2: Convert to fraction form
    378.74/526.82 = 526.82/x
  3. Step 3: Cross multiply
    378.74x = 526.82 × 526.82
  4. Step 4: Simplify right side
    378.74x = 277,535.53
  5. Step 5: Solve for x
    x = 277,535.53/378.74
  6. Step 6: Final answer
    x = 732.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.