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Finding the Third Proportional to 5.75 and 7.30

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Solution

The third proportional to 5.75 and 7.30 is: 9.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.75 : 7.30 = 7.30 : x
  2. Step 2: Convert to fraction form
    5.75/7.30 = 7.30/x
  3. Step 3: Cross multiply
    5.75x = 7.30 × 7.30
  4. Step 4: Simplify right side
    5.75x = 53.34
  5. Step 5: Solve for x
    x = 53.34/5.75
  6. Step 6: Final answer
    x = 9.28

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.