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Finding the Third Proportional to 143,520 and 197,016

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Solution

The third proportional to 143,520 and 197,016 is: 270,452.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,520 : 197,016 = 197,016 : x
  2. Step 2: Convert to fraction form
    143,520/197,016 = 197,016/x
  3. Step 3: Cross multiply
    143,520x = 197,016 × 197,016
  4. Step 4: Simplify right side
    143,520x = 38,815,304,256
  5. Step 5: Solve for x
    x = 38,815,304,256/143,520
  6. Step 6: Final answer
    x = 270,452.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.