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Finding the Third Proportional to 381,459 and 577,099

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Solution

The third proportional to 381,459 and 577,099 is: 873,077.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,459 : 577,099 = 577,099 : x
  2. Step 2: Convert to fraction form
    381,459/577,099 = 577,099/x
  3. Step 3: Cross multiply
    381,459x = 577,099 × 577,099
  4. Step 4: Simplify right side
    381,459x = 333,043,255,801
  5. Step 5: Solve for x
    x = 333,043,255,801/381,459
  6. Step 6: Final answer
    x = 873,077.46

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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.