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Finding the Third Proportional to 8.50 and 10.63

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Solution

The third proportional to 8.50 and 10.63 is: 13.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.50 : 10.63 = 10.63 : x
  2. Step 2: Convert to fraction form
    8.50/10.63 = 10.63/x
  3. Step 3: Cross multiply
    8.50x = 10.63 × 10.63
  4. Step 4: Simplify right side
    8.50x = 112.89
  5. Step 5: Solve for x
    x = 112.89/8.50
  6. Step 6: Final answer
    x = 13.28

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.