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Finding the Third Proportional to 45.42 and 73.13

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Solution

The third proportional to 45.42 and 73.13 is: 117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.42 : 73.13 = 73.13 : x
  2. Step 2: Convert to fraction form
    45.42/73.13 = 73.13/x
  3. Step 3: Cross multiply
    45.42x = 73.13 × 73.13
  4. Step 4: Simplify right side
    45.42x = 5,347.27
  5. Step 5: Solve for x
    x = 5,347.27/45.42
  6. Step 6: Final answer
    x = 117.72

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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.