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Finding the Third Proportional to 45 and 90.84

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Solution

The third proportional to 45 and 90.84 is: 183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45 : 90.84 = 90.84 : x
  2. Step 2: Convert to fraction form
    45/90.84 = 90.84/x
  3. Step 3: Cross multiply
    45x = 90.84 × 90.84
  4. Step 4: Simplify right side
    45x = 8,252.59
  5. Step 5: Solve for x
    x = 8,252.59/45
  6. Step 6: Final answer
    x = 183.39

Related Problems

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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 (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.