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Finding the Third Proportional to 92,008 and 197,132

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Solution

The third proportional to 92,008 and 197,132 is: 422,365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,008 : 197,132 = 197,132 : x
  2. Step 2: Convert to fraction form
    92,008/197,132 = 197,132/x
  3. Step 3: Cross multiply
    92,008x = 197,132 × 197,132
  4. Step 4: Simplify right side
    92,008x = 38,861,025,424
  5. Step 5: Solve for x
    x = 38,861,025,424/92,008
  6. Step 6: Final answer
    x = 422,365.72

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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.