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Finding the Third Proportional to 5.30 and 7.78

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Solution

The third proportional to 5.30 and 7.78 is: 11.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.30 : 7.78 = 7.78 : x
  2. Step 2: Convert to fraction form
    5.30/7.78 = 7.78/x
  3. Step 3: Cross multiply
    5.30x = 7.78 × 7.78
  4. Step 4: Simplify right side
    5.30x = 60.55
  5. Step 5: Solve for x
    x = 60.55/5.30
  6. Step 6: Final answer
    x = 11.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.