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Finding the Third Proportional to 862,218 and 1,305,252

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Solution

The third proportional to 862,218 and 1,305,252 is: 1,975,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,218 : 1,305,252 = 1,305,252 : x
  2. Step 2: Convert to fraction form
    862,218/1,305,252 = 1,305,252/x
  3. Step 3: Cross multiply
    862,218x = 1,305,252 × 1,305,252
  4. Step 4: Simplify right side
    862,218x = 1,703,682,783,504
  5. Step 5: Solve for x
    x = 1,703,682,783,504/862,218
  6. Step 6: Final answer
    x = 1,975,930.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.