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Finding the Third Proportional to 74.01 and 117.81

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Solution

The third proportional to 74.01 and 117.81 is: 187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.01 : 117.81 = 117.81 : x
  2. Step 2: Convert to fraction form
    74.01/117.81 = 117.81/x
  3. Step 3: Cross multiply
    74.01x = 117.81 × 117.81
  4. Step 4: Simplify right side
    74.01x = 13,878.86
  5. Step 5: Solve for x
    x = 13,878.86/74.01
  6. Step 6: Final answer
    x = 187.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.