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Finding the Third Proportional to 475.75 and 747.38

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Solution

The third proportional to 475.75 and 747.38 is: 1,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.75 : 747.38 = 747.38 : x
  2. Step 2: Convert to fraction form
    475.75/747.38 = 747.38/x
  3. Step 3: Cross multiply
    475.75x = 747.38 × 747.38
  4. Step 4: Simplify right side
    475.75x = 558,569.39
  5. Step 5: Solve for x
    x = 558,569.39/475.75
  6. Step 6: Final answer
    x = 1,174.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.