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Finding the Third Proportional to 91,987 and 197,102

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Solution

The third proportional to 91,987 and 197,102 is: 422,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,987 : 197,102 = 197,102 : x
  2. Step 2: Convert to fraction form
    91,987/197,102 = 197,102/x
  3. Step 3: Cross multiply
    91,987x = 197,102 × 197,102
  4. Step 4: Simplify right side
    91,987x = 38,849,198,404
  5. Step 5: Solve for x
    x = 38,849,198,404/91,987
  6. Step 6: Final answer
    x = 422,333.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.