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Finding the Third Proportional to 10.85 and 23.30

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Solution

The third proportional to 10.85 and 23.30 is: 50.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.85 : 23.30 = 23.30 : x
  2. Step 2: Convert to fraction form
    10.85/23.30 = 23.30/x
  3. Step 3: Cross multiply
    10.85x = 23.30 × 23.30
  4. Step 4: Simplify right side
    10.85x = 542.74
  5. Step 5: Solve for x
    x = 542.74/10.85
  6. Step 6: Final answer
    x = 50.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.