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Finding the Third Proportional to 191,985 and 396,237

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Solution

The third proportional to 191,985 and 396,237 is: 817,791.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,985 : 396,237 = 396,237 : x
  2. Step 2: Convert to fraction form
    191,985/396,237 = 396,237/x
  3. Step 3: Cross multiply
    191,985x = 396,237 × 396,237
  4. Step 4: Simplify right side
    191,985x = 157,003,760,169
  5. Step 5: Solve for x
    x = 157,003,760,169/191,985
  6. Step 6: Final answer
    x = 817,791.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.