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Finding the Third Proportional to 426.80 and 652.59

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Solution

The third proportional to 426.80 and 652.59 is: 997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.80 : 652.59 = 652.59 : x
  2. Step 2: Convert to fraction form
    426.80/652.59 = 652.59/x
  3. Step 3: Cross multiply
    426.80x = 652.59 × 652.59
  4. Step 4: Simplify right side
    426.80x = 425,878.60
  5. Step 5: Solve for x
    x = 425,878.60/426.80
  6. Step 6: Final answer
    x = 997.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.