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Finding the Third Proportional to 73.51 and 113.85

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Solution

The third proportional to 73.51 and 113.85 is: 176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.51 : 113.85 = 113.85 : x
  2. Step 2: Convert to fraction form
    73.51/113.85 = 113.85/x
  3. Step 3: Cross multiply
    73.51x = 113.85 × 113.85
  4. Step 4: Simplify right side
    73.51x = 12,962.62
  5. Step 5: Solve for x
    x = 12,962.62/73.51
  6. Step 6: Final answer
    x = 176.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.