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Finding the Third Proportional to 288,804 and 446,322

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Solution

The third proportional to 288,804 and 446,322 is: 689,752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,804 : 446,322 = 446,322 : x
  2. Step 2: Convert to fraction form
    288,804/446,322 = 446,322/x
  3. Step 3: Cross multiply
    288,804x = 446,322 × 446,322
  4. Step 4: Simplify right side
    288,804x = 199,203,327,684
  5. Step 5: Solve for x
    x = 199,203,327,684/288,804
  6. Step 6: Final answer
    x = 689,752.66

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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.