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Finding the Third Proportional to 4,386,408 and 9,781,366

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Solution

The third proportional to 4,386,408 and 9,781,366 is: 21,811,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386,408 : 9,781,366 = 9,781,366 : x
  2. Step 2: Convert to fraction form
    4,386,408/9,781,366 = 9,781,366/x
  3. Step 3: Cross multiply
    4,386,408x = 9,781,366 × 9,781,366
  4. Step 4: Simplify right side
    4,386,408x = 95,675,120,825,956
  5. Step 5: Solve for x
    x = 95,675,120,825,956/4,386,408
  6. Step 6: Final answer
    x = 21,811,724.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.