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Finding the Third Proportional to 311,689 and 681,698

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Solution

The third proportional to 311,689 and 681,698 is: 1,490,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,689 : 681,698 = 681,698 : x
  2. Step 2: Convert to fraction form
    311,689/681,698 = 681,698/x
  3. Step 3: Cross multiply
    311,689x = 681,698 × 681,698
  4. Step 4: Simplify right side
    311,689x = 464,712,163,204
  5. Step 5: Solve for x
    x = 464,712,163,204/311,689
  6. Step 6: Final answer
    x = 1,490,948.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.