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Finding the Third Proportional to 138,668 and 198,158

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Solution

The third proportional to 138,668 and 198,158 is: 283,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,668 : 198,158 = 198,158 : x
  2. Step 2: Convert to fraction form
    138,668/198,158 = 198,158/x
  3. Step 3: Cross multiply
    138,668x = 198,158 × 198,158
  4. Step 4: Simplify right side
    138,668x = 39,266,592,964
  5. Step 5: Solve for x
    x = 39,266,592,964/138,668
  6. Step 6: Final answer
    x = 283,169.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.