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Finding the Third Proportional to 439,561.50 and 667,766.25

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Solution

The third proportional to 439,561.50 and 667,766.25 is: 1,014,446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,561.50 : 667,766.25 = 667,766.25 : x
  2. Step 2: Convert to fraction form
    439,561.50/667,766.25 = 667,766.25/x
  3. Step 3: Cross multiply
    439,561.50x = 667,766.25 × 667,766.25
  4. Step 4: Simplify right side
    439,561.50x = 445,911,764,639.06
  5. Step 5: Solve for x
    x = 445,911,764,639.06/439,561.50
  6. Step 6: Final answer
    x = 1,014,446.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.