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Finding the Third Proportional to 118.75 and 177.50

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Solution

The third proportional to 118.75 and 177.50 is: 265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.75 : 177.50 = 177.50 : x
  2. Step 2: Convert to fraction form
    118.75/177.50 = 177.50/x
  3. Step 3: Cross multiply
    118.75x = 177.50 × 177.50
  4. Step 4: Simplify right side
    118.75x = 31,506.25
  5. Step 5: Solve for x
    x = 31,506.25/118.75
  6. Step 6: Final answer
    x = 265.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.