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Finding the Third Proportional to 426.28 and 927.65

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Solution

The third proportional to 426.28 and 927.65 is: 2,018.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.28 : 927.65 = 927.65 : x
  2. Step 2: Convert to fraction form
    426.28/927.65 = 927.65/x
  3. Step 3: Cross multiply
    426.28x = 927.65 × 927.65
  4. Step 4: Simplify right side
    426.28x = 860,527.60
  5. Step 5: Solve for x
    x = 860,527.60/426.28
  6. Step 6: Final answer
    x = 2,018.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.