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Finding the Third Proportional to 431,589 and 948,831

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Solution

The third proportional to 431,589 and 948,831 is: 2,085,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,589 : 948,831 = 948,831 : x
  2. Step 2: Convert to fraction form
    431,589/948,831 = 948,831/x
  3. Step 3: Cross multiply
    431,589x = 948,831 × 948,831
  4. Step 4: Simplify right side
    431,589x = 900,280,266,561
  5. Step 5: Solve for x
    x = 900,280,266,561/431,589
  6. Step 6: Final answer
    x = 2,085,966.66

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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.