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Finding the Third Proportional to 778,443 and 994,689

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Solution

The third proportional to 778,443 and 994,689 is: 1,271,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,443 : 994,689 = 994,689 : x
  2. Step 2: Convert to fraction form
    778,443/994,689 = 994,689/x
  3. Step 3: Cross multiply
    778,443x = 994,689 × 994,689
  4. Step 4: Simplify right side
    778,443x = 989,406,206,721
  5. Step 5: Solve for x
    x = 989,406,206,721/778,443
  6. Step 6: Final answer
    x = 1,271,006.62

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.