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Finding the Third Proportional to 2,019,921 and 3,215,648.25

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Solution

The third proportional to 2,019,921 and 3,215,648.25 is: 5,119,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,921 : 3,215,648.25 = 3,215,648.25 : x
  2. Step 2: Convert to fraction form
    2,019,921/3,215,648.25 = 3,215,648.25/x
  3. Step 3: Cross multiply
    2,019,921x = 3,215,648.25 × 3,215,648.25
  4. Step 4: Simplify right side
    2,019,921x = 10,340,393,667,728.06
  5. Step 5: Solve for x
    x = 10,340,393,667,728.06/2,019,921
  6. Step 6: Final answer
    x = 5,119,206.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.