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Finding the Third Proportional to 678,286 and 1,079,698

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Solution

The third proportional to 678,286 and 1,079,698 is: 1,718,667.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,286 : 1,079,698 = 1,079,698 : x
  2. Step 2: Convert to fraction form
    678,286/1,079,698 = 1,079,698/x
  3. Step 3: Cross multiply
    678,286x = 1,079,698 × 1,079,698
  4. Step 4: Simplify right side
    678,286x = 1,165,747,771,204
  5. Step 5: Solve for x
    x = 1,165,747,771,204/678,286
  6. Step 6: Final answer
    x = 1,718,667.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.