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Finding the Third Proportional to 778,290.75 and 994,476.38

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Solution

The third proportional to 778,290.75 and 994,476.38 is: 1,270,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,290.75 : 994,476.38 = 994,476.38 : x
  2. Step 2: Convert to fraction form
    778,290.75/994,476.38 = 994,476.38/x
  3. Step 3: Cross multiply
    778,290.75x = 994,476.38 × 994,476.38
  4. Step 4: Simplify right side
    778,290.75x = 988,983,260,433.14
  5. Step 5: Solve for x
    x = 988,983,260,433.14/778,290.75
  6. Step 6: Final answer
    x = 1,270,711.83

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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.