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Finding the Third Proportional to 287,992.13 and 396,991.13

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Solution

The third proportional to 287,992.13 and 396,991.13 is: 547,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,992.13 : 396,991.13 = 396,991.13 : x
  2. Step 2: Convert to fraction form
    287,992.13/396,991.13 = 396,991.13/x
  3. Step 3: Cross multiply
    287,992.13x = 396,991.13 × 396,991.13
  4. Step 4: Simplify right side
    287,992.13x = 157,601,953,328.77
  5. Step 5: Solve for x
    x = 157,601,953,328.77/287,992.13
  6. Step 6: Final answer
    x = 547,243.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.