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Finding the Third Proportional to 381,945.38 and 805,717.13

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Solution

The third proportional to 381,945.38 and 805,717.13 is: 1,699,667.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,945.38 : 805,717.13 = 805,717.13 : x
  2. Step 2: Convert to fraction form
    381,945.38/805,717.13 = 805,717.13/x
  3. Step 3: Cross multiply
    381,945.38x = 805,717.13 × 805,717.13
  4. Step 4: Simplify right side
    381,945.38x = 649,180,085,518.27
  5. Step 5: Solve for x
    x = 649,180,085,518.27/381,945.38
  6. Step 6: Final answer
    x = 1,699,667.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.