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Finding the Third Proportional to 276.58 and 425.55

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Solution

The third proportional to 276.58 and 425.55 is: 654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.58 : 425.55 = 425.55 : x
  2. Step 2: Convert to fraction form
    276.58/425.55 = 425.55/x
  3. Step 3: Cross multiply
    276.58x = 425.55 × 425.55
  4. Step 4: Simplify right side
    276.58x = 181,089.94
  5. Step 5: Solve for x
    x = 181,089.94/276.58
  6. Step 6: Final answer
    x = 654.75

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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.