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Finding the Third Proportional to 310,418 and 677,698

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Solution

The third proportional to 310,418 and 677,698 is: 1,479,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,418 : 677,698 = 677,698 : x
  2. Step 2: Convert to fraction form
    310,418/677,698 = 677,698/x
  3. Step 3: Cross multiply
    310,418x = 677,698 × 677,698
  4. Step 4: Simplify right side
    310,418x = 459,274,579,204
  5. Step 5: Solve for x
    x = 459,274,579,204/310,418
  6. Step 6: Final answer
    x = 1,479,535.91

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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.