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Finding the Third Proportional to 74.84 and 117.23

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Solution

The third proportional to 74.84 and 117.23 is: 183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.84 : 117.23 = 117.23 : x
  2. Step 2: Convert to fraction form
    74.84/117.23 = 117.23/x
  3. Step 3: Cross multiply
    74.84x = 117.23 × 117.23
  4. Step 4: Simplify right side
    74.84x = 13,743.90
  5. Step 5: Solve for x
    x = 13,743.90/74.84
  6. Step 6: Final answer
    x = 183.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.