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Finding the Third Proportional to 5.34 and 7.83

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Solution

The third proportional to 5.34 and 7.83 is: 11.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.34 : 7.83 = 7.83 : x
  2. Step 2: Convert to fraction form
    5.34/7.83 = 7.83/x
  3. Step 3: Cross multiply
    5.34x = 7.83 × 7.83
  4. Step 4: Simplify right side
    5.34x = 61.28
  5. Step 5: Solve for x
    x = 61.28/5.34
  6. Step 6: Final answer
    x = 11.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.