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Finding the Third Proportional to 381,288 and 837,264

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Solution

The third proportional to 381,288 and 837,264 is: 1,838,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,288 : 837,264 = 837,264 : x
  2. Step 2: Convert to fraction form
    381,288/837,264 = 837,264/x
  3. Step 3: Cross multiply
    381,288x = 837,264 × 837,264
  4. Step 4: Simplify right side
    381,288x = 701,011,005,696
  5. Step 5: Solve for x
    x = 701,011,005,696/381,288
  6. Step 6: Final answer
    x = 1,838,534.14

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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.