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Finding the Third Proportional to 820,886 and 1,187,823

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Solution

The third proportional to 820,886 and 1,187,823 is: 1,718,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,886 : 1,187,823 = 1,187,823 : x
  2. Step 2: Convert to fraction form
    820,886/1,187,823 = 1,187,823/x
  3. Step 3: Cross multiply
    820,886x = 1,187,823 × 1,187,823
  4. Step 4: Simplify right side
    820,886x = 1,410,923,479,329
  5. Step 5: Solve for x
    x = 1,410,923,479,329/820,886
  6. Step 6: Final answer
    x = 1,718,781.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.