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Finding the Third Proportional to 381,477 and 577,137

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Solution

The third proportional to 381,477 and 577,137 is: 873,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,477 : 577,137 = 577,137 : x
  2. Step 2: Convert to fraction form
    381,477/577,137 = 577,137/x
  3. Step 3: Cross multiply
    381,477x = 577,137 × 577,137
  4. Step 4: Simplify right side
    381,477x = 333,087,116,769
  5. Step 5: Solve for x
    x = 333,087,116,769/381,477
  6. Step 6: Final answer
    x = 873,151.24

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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.