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Finding the Third Proportional to 821,716 and 1,794,680

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Solution

The third proportional to 821,716 and 1,794,680 is: 3,919,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,716 : 1,794,680 = 1,794,680 : x
  2. Step 2: Convert to fraction form
    821,716/1,794,680 = 1,794,680/x
  3. Step 3: Cross multiply
    821,716x = 1,794,680 × 1,794,680
  4. Step 4: Simplify right side
    821,716x = 3,220,876,302,400
  5. Step 5: Solve for x
    x = 3,220,876,302,400/821,716
  6. Step 6: Final answer
    x = 3,919,695.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.