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Finding the Third Proportional to 301,826 and 408,451

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Solution

The third proportional to 301,826 and 408,451 is: 552,743.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,826 : 408,451 = 408,451 : x
  2. Step 2: Convert to fraction form
    301,826/408,451 = 408,451/x
  3. Step 3: Cross multiply
    301,826x = 408,451 × 408,451
  4. Step 4: Simplify right side
    301,826x = 166,832,219,401
  5. Step 5: Solve for x
    x = 166,832,219,401/301,826
  6. Step 6: Final answer
    x = 552,743.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.