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Finding the Third Proportional to 141,605 and 197,986

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Solution

The third proportional to 141,605 and 197,986 is: 276,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,605 : 197,986 = 197,986 : x
  2. Step 2: Convert to fraction form
    141,605/197,986 = 197,986/x
  3. Step 3: Cross multiply
    141,605x = 197,986 × 197,986
  4. Step 4: Simplify right side
    141,605x = 39,198,456,196
  5. Step 5: Solve for x
    x = 39,198,456,196/141,605
  6. Step 6: Final answer
    x = 276,815.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.