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Finding the Third Proportional to 4,381,780 and 9,415,448

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Solution

The third proportional to 4,381,780 and 9,415,448 is: 20,231,654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381,780 : 9,415,448 = 9,415,448 : x
  2. Step 2: Convert to fraction form
    4,381,780/9,415,448 = 9,415,448/x
  3. Step 3: Cross multiply
    4,381,780x = 9,415,448 × 9,415,448
  4. Step 4: Simplify right side
    4,381,780x = 88,650,661,040,704
  5. Step 5: Solve for x
    x = 88,650,661,040,704/4,381,780
  6. Step 6: Final answer
    x = 20,231,654.95

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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.