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Finding the Third Proportional to 10.13 and 21.66

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Solution

The third proportional to 10.13 and 21.66 is: 46.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.13 : 21.66 = 21.66 : x
  2. Step 2: Convert to fraction form
    10.13/21.66 = 21.66/x
  3. Step 3: Cross multiply
    10.13x = 21.66 × 21.66
  4. Step 4: Simplify right side
    10.13x = 468.99
  5. Step 5: Solve for x
    x = 468.99/10.13
  6. Step 6: Final answer
    x = 46.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.