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Finding the Third Proportional to 426,439.50 and 919,305.75

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Solution

The third proportional to 426,439.50 and 919,305.75 is: 1,981,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,439.50 : 919,305.75 = 919,305.75 : x
  2. Step 2: Convert to fraction form
    426,439.50/919,305.75 = 919,305.75/x
  3. Step 3: Cross multiply
    426,439.50x = 919,305.75 × 919,305.75
  4. Step 4: Simplify right side
    426,439.50x = 845,123,061,983.06
  5. Step 5: Solve for x
    x = 845,123,061,983.06/426,439.50
  6. Step 6: Final answer
    x = 1,981,812.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.