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Finding the Third Proportional to 815,319 and 1,729,293

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Solution

The third proportional to 815,319 and 1,729,293 is: 3,667,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,319 : 1,729,293 = 1,729,293 : x
  2. Step 2: Convert to fraction form
    815,319/1,729,293 = 1,729,293/x
  3. Step 3: Cross multiply
    815,319x = 1,729,293 × 1,729,293
  4. Step 4: Simplify right side
    815,319x = 2,990,454,279,849
  5. Step 5: Solve for x
    x = 2,990,454,279,849/815,319
  6. Step 6: Final answer
    x = 3,667,833.42

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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.