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Finding the Third Proportional to 426.67 and 678.43

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Solution

The third proportional to 426.67 and 678.43 is: 1,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.67 : 678.43 = 678.43 : x
  2. Step 2: Convert to fraction form
    426.67/678.43 = 678.43/x
  3. Step 3: Cross multiply
    426.67x = 678.43 × 678.43
  4. Step 4: Simplify right side
    426.67x = 460,264.19
  5. Step 5: Solve for x
    x = 460,264.19/426.67
  6. Step 6: Final answer
    x = 1,078.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.