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Finding the Third Proportional to 778,437 and 994,680

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Solution

The third proportional to 778,437 and 994,680 is: 1,270,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,437 : 994,680 = 994,680 : x
  2. Step 2: Convert to fraction form
    778,437/994,680 = 994,680/x
  3. Step 3: Cross multiply
    778,437x = 994,680 × 994,680
  4. Step 4: Simplify right side
    778,437x = 989,388,302,400
  5. Step 5: Solve for x
    x = 989,388,302,400/778,437
  6. Step 6: Final answer
    x = 1,270,993.42

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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.