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Finding the Third Proportional to 408,759.75 and 879,994.13

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Solution

The third proportional to 408,759.75 and 879,994.13 is: 1,894,486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,759.75 : 879,994.13 = 879,994.13 : x
  2. Step 2: Convert to fraction form
    408,759.75/879,994.13 = 879,994.13/x
  3. Step 3: Cross multiply
    408,759.75x = 879,994.13 × 879,994.13
  4. Step 4: Simplify right side
    408,759.75x = 774,389,660,034.52
  5. Step 5: Solve for x
    x = 774,389,660,034.52/408,759.75
  6. Step 6: Final answer
    x = 1,894,486.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.