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Finding the Third Proportional to 118,990 and 158,635

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Solution

The third proportional to 118,990 and 158,635 is: 211,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,990 : 158,635 = 158,635 : x
  2. Step 2: Convert to fraction form
    118,990/158,635 = 158,635/x
  3. Step 3: Cross multiply
    118,990x = 158,635 × 158,635
  4. Step 4: Simplify right side
    118,990x = 25,165,063,225
  5. Step 5: Solve for x
    x = 25,165,063,225/118,990
  6. Step 6: Final answer
    x = 211,488.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.