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Finding the Third Proportional to 10.74 and 15.10

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Solution

The third proportional to 10.74 and 15.10 is: 21.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.74 : 15.10 = 15.10 : x
  2. Step 2: Convert to fraction form
    10.74/15.10 = 15.10/x
  3. Step 3: Cross multiply
    10.74x = 15.10 × 15.10
  4. Step 4: Simplify right side
    10.74x = 228.12
  5. Step 5: Solve for x
    x = 228.12/10.74
  6. Step 6: Final answer
    x = 21.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.