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Finding the Third Proportional to 3,899,449 and 8,415,452

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Solution

The third proportional to 3,899,449 and 8,415,452 is: 18,161,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899,449 : 8,415,452 = 8,415,452 : x
  2. Step 2: Convert to fraction form
    3,899,449/8,415,452 = 8,415,452/x
  3. Step 3: Cross multiply
    3,899,449x = 8,415,452 × 8,415,452
  4. Step 4: Simplify right side
    3,899,449x = 70,819,832,364,304
  5. Step 5: Solve for x
    x = 70,819,832,364,304/3,899,449
  6. Step 6: Final answer
    x = 18,161,497.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.