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Finding the Third Proportional to 10.17 and 21.30

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Solution

The third proportional to 10.17 and 21.30 is: 44.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.17 : 21.30 = 21.30 : x
  2. Step 2: Convert to fraction form
    10.17/21.30 = 21.30/x
  3. Step 3: Cross multiply
    10.17x = 21.30 × 21.30
  4. Step 4: Simplify right side
    10.17x = 453.56
  5. Step 5: Solve for x
    x = 453.56/10.17
  6. Step 6: Final answer
    x = 44.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.