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Finding the Third Proportional to 361,421 and 803,626

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Solution

The third proportional to 361,421 and 803,626 is: 1,786,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,421 : 803,626 = 803,626 : x
  2. Step 2: Convert to fraction form
    361,421/803,626 = 803,626/x
  3. Step 3: Cross multiply
    361,421x = 803,626 × 803,626
  4. Step 4: Simplify right side
    361,421x = 645,814,747,876
  5. Step 5: Solve for x
    x = 645,814,747,876/361,421
  6. Step 6: Final answer
    x = 1,786,876.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.