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Finding the Third Proportional to 381,292 and 837,272

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Solution

The third proportional to 381,292 and 837,272 is: 1,838,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,292 : 837,272 = 837,272 : x
  2. Step 2: Convert to fraction form
    381,292/837,272 = 837,272/x
  3. Step 3: Cross multiply
    381,292x = 837,272 × 837,272
  4. Step 4: Simplify right side
    381,292x = 701,024,401,984
  5. Step 5: Solve for x
    x = 701,024,401,984/381,292
  6. Step 6: Final answer
    x = 1,838,549.99

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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.