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Finding the Third Proportional to 30.45 and 45.67

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Solution

The third proportional to 30.45 and 45.67 is: 68.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.45 : 45.67 = 45.67 : x
  2. Step 2: Convert to fraction form
    30.45/45.67 = 45.67/x
  3. Step 3: Cross multiply
    30.45x = 45.67 × 45.67
  4. Step 4: Simplify right side
    30.45x = 2,085.87
  5. Step 5: Solve for x
    x = 2,085.87/30.45
  6. Step 6: Final answer
    x = 68.51

Related Problems

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