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Finding the Third Proportional to 45 and 90.56

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Solution

The third proportional to 45 and 90.56 is: 182.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45 : 90.56 = 90.56 : x
  2. Step 2: Convert to fraction form
    45/90.56 = 90.56/x
  3. Step 3: Cross multiply
    45x = 90.56 × 90.56
  4. Step 4: Simplify right side
    45x = 8,201.57
  5. Step 5: Solve for x
    x = 8,201.57/45
  6. Step 6: Final answer
    x = 182.26

Related Problems

Find third proportional to 22.50 and 45.28
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.