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Finding the Third Proportional to 366,039 and 778,734

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Solution

The third proportional to 366,039 and 778,734 is: 1,656,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,039 : 778,734 = 778,734 : x
  2. Step 2: Convert to fraction form
    366,039/778,734 = 778,734/x
  3. Step 3: Cross multiply
    366,039x = 778,734 × 778,734
  4. Step 4: Simplify right side
    366,039x = 606,426,642,756
  5. Step 5: Solve for x
    x = 606,426,642,756/366,039
  6. Step 6: Final answer
    x = 1,656,726.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.