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Finding the Third Proportional to 4.73 and 7.55

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Solution

The third proportional to 4.73 and 7.55 is: 12.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.73 : 7.55 = 7.55 : x
  2. Step 2: Convert to fraction form
    4.73/7.55 = 7.55/x
  3. Step 3: Cross multiply
    4.73x = 7.55 × 7.55
  4. Step 4: Simplify right side
    4.73x = 56.96
  5. Step 5: Solve for x
    x = 56.96/4.73
  6. Step 6: Final answer
    x = 12.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.