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Finding the Third Proportional to 276.46 and 634.55

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Solution

The third proportional to 276.46 and 634.55 is: 1,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.46 : 634.55 = 634.55 : x
  2. Step 2: Convert to fraction form
    276.46/634.55 = 634.55/x
  3. Step 3: Cross multiply
    276.46x = 634.55 × 634.55
  4. Step 4: Simplify right side
    276.46x = 402,657.17
  5. Step 5: Solve for x
    x = 402,657.17/276.46
  6. Step 6: Final answer
    x = 1,456.48

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.