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Finding the Third Proportional to 4.34 and 7.49

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Solution

The third proportional to 4.34 and 7.49 is: 12.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.34 : 7.49 = 7.49 : x
  2. Step 2: Convert to fraction form
    4.34/7.49 = 7.49/x
  3. Step 3: Cross multiply
    4.34x = 7.49 × 7.49
  4. Step 4: Simplify right side
    4.34x = 56.11
  5. Step 5: Solve for x
    x = 56.11/4.34
  6. Step 6: Final answer
    x = 12.93

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.