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Finding the Third Proportional to 386,919 and 842,911

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Solution

The third proportional to 386,919 and 842,911 is: 1,836,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,919 : 842,911 = 842,911 : x
  2. Step 2: Convert to fraction form
    386,919/842,911 = 842,911/x
  3. Step 3: Cross multiply
    386,919x = 842,911 × 842,911
  4. Step 4: Simplify right side
    386,919x = 710,498,953,921
  5. Step 5: Solve for x
    x = 710,498,953,921/386,919
  6. Step 6: Final answer
    x = 1,836,298.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.