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Finding the Third Proportional to 778,744 and 1,138,551

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Solution

The third proportional to 778,744 and 1,138,551 is: 1,664,601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,744 : 1,138,551 = 1,138,551 : x
  2. Step 2: Convert to fraction form
    778,744/1,138,551 = 1,138,551/x
  3. Step 3: Cross multiply
    778,744x = 1,138,551 × 1,138,551
  4. Step 4: Simplify right side
    778,744x = 1,296,298,379,601
  5. Step 5: Solve for x
    x = 1,296,298,379,601/778,744
  6. Step 6: Final answer
    x = 1,664,601.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.