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Finding the Third Proportional to 88.50 and 118.25

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Solution

The third proportional to 88.50 and 118.25 is: 158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.50 : 118.25 = 118.25 : x
  2. Step 2: Convert to fraction form
    88.50/118.25 = 118.25/x
  3. Step 3: Cross multiply
    88.50x = 118.25 × 118.25
  4. Step 4: Simplify right side
    88.50x = 13,983.06
  5. Step 5: Solve for x
    x = 13,983.06/88.50
  6. Step 6: Final answer
    x = 158.00

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.