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Finding the Third Proportional to 118.50 and 130

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Solution

The third proportional to 118.50 and 130 is: 142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.50 : 130 = 130 : x
  2. Step 2: Convert to fraction form
    118.50/130 = 130/x
  3. Step 3: Cross multiply
    118.50x = 130 × 130
  4. Step 4: Simplify right side
    118.50x = 16,900
  5. Step 5: Solve for x
    x = 16,900/118.50
  6. Step 6: Final answer
    x = 142.62

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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.