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Finding the Third Proportional to 664.45 and 1,522.55

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Solution

The third proportional to 664.45 and 1,522.55 is: 3,488.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.45 : 1,522.55 = 1,522.55 : x
  2. Step 2: Convert to fraction form
    664.45/1,522.55 = 1,522.55/x
  3. Step 3: Cross multiply
    664.45x = 1,522.55 × 1,522.55
  4. Step 4: Simplify right side
    664.45x = 2,318,148.99
  5. Step 5: Solve for x
    x = 2,318,148.99/664.45
  6. Step 6: Final answer
    x = 3,488.81

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.