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Finding the Third Proportional to 778,284.75 and 994,470.75

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Solution

The third proportional to 778,284.75 and 994,470.75 is: 1,270,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,284.75 : 994,470.75 = 994,470.75 : x
  2. Step 2: Convert to fraction form
    778,284.75/994,470.75 = 994,470.75/x
  3. Step 3: Cross multiply
    778,284.75x = 994,470.75 × 994,470.75
  4. Step 4: Simplify right side
    778,284.75x = 988,972,072,605.56
  5. Step 5: Solve for x
    x = 988,972,072,605.56/778,284.75
  6. Step 6: Final answer
    x = 1,270,707.25

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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.