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Finding the Third Proportional to 381,305 and 838,791

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Solution

The third proportional to 381,305 and 838,791 is: 1,845,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,305 : 838,791 = 838,791 : x
  2. Step 2: Convert to fraction form
    381,305/838,791 = 838,791/x
  3. Step 3: Cross multiply
    381,305x = 838,791 × 838,791
  4. Step 4: Simplify right side
    381,305x = 703,570,341,681
  5. Step 5: Solve for x
    x = 703,570,341,681/381,305
  6. Step 6: Final answer
    x = 1,845,164.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.