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Finding the Third Proportional to 378,432 and 526,176

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Solution

The third proportional to 378,432 and 526,176 is: 731,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,432 : 526,176 = 526,176 : x
  2. Step 2: Convert to fraction form
    378,432/526,176 = 526,176/x
  3. Step 3: Cross multiply
    378,432x = 526,176 × 526,176
  4. Step 4: Simplify right side
    378,432x = 276,861,182,976
  5. Step 5: Solve for x
    x = 276,861,182,976/378,432
  6. Step 6: Final answer
    x = 731,600.88

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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.