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Finding the Third Proportional to 143,510 and 197,001

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Solution

The third proportional to 143,510 and 197,001 is: 270,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,510 : 197,001 = 197,001 : x
  2. Step 2: Convert to fraction form
    143,510/197,001 = 197,001/x
  3. Step 3: Cross multiply
    143,510x = 197,001 × 197,001
  4. Step 4: Simplify right side
    143,510x = 38,809,394,001
  5. Step 5: Solve for x
    x = 38,809,394,001/143,510
  6. Step 6: Final answer
    x = 270,429.89

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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.