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Finding the Third Proportional to 381,459 and 577,098

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Solution

The third proportional to 381,459 and 577,098 is: 873,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,459 : 577,098 = 577,098 : x
  2. Step 2: Convert to fraction form
    381,459/577,098 = 577,098/x
  3. Step 3: Cross multiply
    381,459x = 577,098 × 577,098
  4. Step 4: Simplify right side
    381,459x = 333,042,101,604
  5. Step 5: Solve for x
    x = 333,042,101,604/381,459
  6. Step 6: Final answer
    x = 873,074.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.