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Finding the Third Proportional to 742.75 and 1,158.38

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Solution

The third proportional to 742.75 and 1,158.38 is: 1,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.75 : 1,158.38 = 1,158.38 : x
  2. Step 2: Convert to fraction form
    742.75/1,158.38 = 1,158.38/x
  3. Step 3: Cross multiply
    742.75x = 1,158.38 × 1,158.38
  4. Step 4: Simplify right side
    742.75x = 1,341,832.64
  5. Step 5: Solve for x
    x = 1,341,832.64/742.75
  6. Step 6: Final answer
    x = 1,806.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.