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Finding the Third Proportional to 381,078 and 828,587

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Solution

The third proportional to 381,078 and 828,587 is: 1,801,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,078 : 828,587 = 828,587 : x
  2. Step 2: Convert to fraction form
    381,078/828,587 = 828,587/x
  3. Step 3: Cross multiply
    381,078x = 828,587 × 828,587
  4. Step 4: Simplify right side
    381,078x = 686,556,416,569
  5. Step 5: Solve for x
    x = 686,556,416,569/381,078
  6. Step 6: Final answer
    x = 1,801,616.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.