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Finding the Third Proportional to 8.78 and 9.46

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Solution

The third proportional to 8.78 and 9.46 is: 10.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.78 : 9.46 = 9.46 : x
  2. Step 2: Convert to fraction form
    8.78/9.46 = 9.46/x
  3. Step 3: Cross multiply
    8.78x = 9.46 × 9.46
  4. Step 4: Simplify right side
    8.78x = 89.50
  5. Step 5: Solve for x
    x = 89.50/8.78
  6. Step 6: Final answer
    x = 10.19

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.