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Finding the Third Proportional to 678,822 and 1,340,517

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Solution

The third proportional to 678,822 and 1,340,517 is: 2,647,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,822 : 1,340,517 = 1,340,517 : x
  2. Step 2: Convert to fraction form
    678,822/1,340,517 = 1,340,517/x
  3. Step 3: Cross multiply
    678,822x = 1,340,517 × 1,340,517
  4. Step 4: Simplify right side
    678,822x = 1,796,985,827,289
  5. Step 5: Solve for x
    x = 1,796,985,827,289/678,822
  6. Step 6: Final answer
    x = 2,647,212.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.