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Finding the Third Proportional to 381,510 and 815,184

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Solution

The third proportional to 381,510 and 815,184 is: 1,741,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,510 : 815,184 = 815,184 : x
  2. Step 2: Convert to fraction form
    381,510/815,184 = 815,184/x
  3. Step 3: Cross multiply
    381,510x = 815,184 × 815,184
  4. Step 4: Simplify right side
    381,510x = 664,524,953,856
  5. Step 5: Solve for x
    x = 664,524,953,856/381,510
  6. Step 6: Final answer
    x = 1,741,828.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.