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Finding the Third Proportional to 75 and 117.88

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Solution

The third proportional to 75 and 117.88 is: 185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 117.88 = 117.88 : x
  2. Step 2: Convert to fraction form
    75/117.88 = 117.88/x
  3. Step 3: Cross multiply
    75x = 117.88 × 117.88
  4. Step 4: Simplify right side
    75x = 13,894.52
  5. Step 5: Solve for x
    x = 13,894.52/75
  6. Step 6: Final answer
    x = 185.26

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