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Finding the Third Proportional to 426,986 and 919,948

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Solution

The third proportional to 426,986 and 919,948 is: 1,982,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,986 : 919,948 = 919,948 : x
  2. Step 2: Convert to fraction form
    426,986/919,948 = 919,948/x
  3. Step 3: Cross multiply
    426,986x = 919,948 × 919,948
  4. Step 4: Simplify right side
    426,986x = 846,304,322,704
  5. Step 5: Solve for x
    x = 846,304,322,704/426,986
  6. Step 6: Final answer
    x = 1,982,042.32

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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.