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Finding the Third Proportional to 426,969 and 919,917

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Solution

The third proportional to 426,969 and 919,917 is: 1,981,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,969 : 919,917 = 919,917 : x
  2. Step 2: Convert to fraction form
    426,969/919,917 = 919,917/x
  3. Step 3: Cross multiply
    426,969x = 919,917 × 919,917
  4. Step 4: Simplify right side
    426,969x = 846,247,286,889
  5. Step 5: Solve for x
    x = 846,247,286,889/426,969
  6. Step 6: Final answer
    x = 1,981,987.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.