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Finding the Third Proportional to 288,826 and 446,351

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Solution

The third proportional to 288,826 and 446,351 is: 689,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,826 : 446,351 = 446,351 : x
  2. Step 2: Convert to fraction form
    288,826/446,351 = 446,351/x
  3. Step 3: Cross multiply
    288,826x = 446,351 × 446,351
  4. Step 4: Simplify right side
    288,826x = 199,229,215,201
  5. Step 5: Solve for x
    x = 199,229,215,201/288,826
  6. Step 6: Final answer
    x = 689,789.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.