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Finding the Third Proportional to 742.61 and 1,522.23

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Solution

The third proportional to 742.61 and 1,522.23 is: 3,120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.61 : 1,522.23 = 1,522.23 : x
  2. Step 2: Convert to fraction form
    742.61/1,522.23 = 1,522.23/x
  3. Step 3: Cross multiply
    742.61x = 1,522.23 × 1,522.23
  4. Step 4: Simplify right side
    742.61x = 2,317,185.60
  5. Step 5: Solve for x
    x = 2,317,185.60/742.61
  6. Step 6: Final answer
    x = 3,120.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.