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Finding the Third Proportional to 381,216 and 837,120

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Solution

The third proportional to 381,216 and 837,120 is: 1,838,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,216 : 837,120 = 837,120 : x
  2. Step 2: Convert to fraction form
    381,216/837,120 = 837,120/x
  3. Step 3: Cross multiply
    381,216x = 837,120 × 837,120
  4. Step 4: Simplify right side
    381,216x = 700,769,894,400
  5. Step 5: Solve for x
    x = 700,769,894,400/381,216
  6. Step 6: Final answer
    x = 1,838,248.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.