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Finding the Third Proportional to 655.80 and 1,426.99

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Solution

The third proportional to 655.80 and 1,426.99 is: 3,105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.80 : 1,426.99 = 1,426.99 : x
  2. Step 2: Convert to fraction form
    655.80/1,426.99 = 1,426.99/x
  3. Step 3: Cross multiply
    655.80x = 1,426.99 × 1,426.99
  4. Step 4: Simplify right side
    655.80x = 2,036,306.70
  5. Step 5: Solve for x
    x = 2,036,306.70/655.80
  6. Step 6: Final answer
    x = 3,105.05

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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.