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Finding the Third Proportional to 118.50 and 130.88

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Solution

The third proportional to 118.50 and 130.88 is: 144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.50 : 130.88 = 130.88 : x
  2. Step 2: Convert to fraction form
    118.50/130.88 = 130.88/x
  3. Step 3: Cross multiply
    118.50x = 130.88 × 130.88
  4. Step 4: Simplify right side
    118.50x = 17,128.27
  5. Step 5: Solve for x
    x = 17,128.27/118.50
  6. Step 6: Final answer
    x = 144.54

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.