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Finding the Third Proportional to 356,162.25 and 778,830.75

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Solution

The third proportional to 356,162.25 and 778,830.75 is: 1,703,092.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,162.25 : 778,830.75 = 778,830.75 : x
  2. Step 2: Convert to fraction form
    356,162.25/778,830.75 = 778,830.75/x
  3. Step 3: Cross multiply
    356,162.25x = 778,830.75 × 778,830.75
  4. Step 4: Simplify right side
    356,162.25x = 606,577,337,145.56
  5. Step 5: Solve for x
    x = 606,577,337,145.56/356,162.25
  6. Step 6: Final answer
    x = 1,703,092.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.