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Finding the Third Proportional to 4,213,921 and 9,067,385

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Solution

The third proportional to 4,213,921 and 9,067,385 is: 19,510,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213,921 : 9,067,385 = 9,067,385 : x
  2. Step 2: Convert to fraction form
    4,213,921/9,067,385 = 9,067,385/x
  3. Step 3: Cross multiply
    4,213,921x = 9,067,385 × 9,067,385
  4. Step 4: Simplify right side
    4,213,921x = 82,217,470,738,225
  5. Step 5: Solve for x
    x = 82,217,470,738,225/4,213,921
  6. Step 6: Final answer
    x = 19,510,918.87

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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.