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Finding the Third Proportional to 366,979 and 778,063

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Solution

The third proportional to 366,979 and 778,063 is: 1,649,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,979 : 778,063 = 778,063 : x
  2. Step 2: Convert to fraction form
    366,979/778,063 = 778,063/x
  3. Step 3: Cross multiply
    366,979x = 778,063 × 778,063
  4. Step 4: Simplify right side
    366,979x = 605,382,031,969
  5. Step 5: Solve for x
    x = 605,382,031,969/366,979
  6. Step 6: Final answer
    x = 1,649,636.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.