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Finding the Third Proportional to 426.38 and 679.94

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Solution

The third proportional to 426.38 and 679.94 is: 1,084.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.38 : 679.94 = 679.94 : x
  2. Step 2: Convert to fraction form
    426.38/679.94 = 679.94/x
  3. Step 3: Cross multiply
    426.38x = 679.94 × 679.94
  4. Step 4: Simplify right side
    426.38x = 462,315.00
  5. Step 5: Solve for x
    x = 462,315.00/426.38
  6. Step 6: Final answer
    x = 1,084.29

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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.