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Finding the Third Proportional to 17.62 and 28.30

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Solution

The third proportional to 17.62 and 28.30 is: 45.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.62 : 28.30 = 28.30 : x
  2. Step 2: Convert to fraction form
    17.62/28.30 = 28.30/x
  3. Step 3: Cross multiply
    17.62x = 28.30 × 28.30
  4. Step 4: Simplify right side
    17.62x = 800.81
  5. Step 5: Solve for x
    x = 800.81/17.62
  6. Step 6: Final answer
    x = 45.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.