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Finding the Third Proportional to 260,066.12 and 408,069.85

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Solution

The third proportional to 260,066.12 and 408,069.85 is: 640,302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,066.12 : 408,069.85 = 408,069.85 : x
  2. Step 2: Convert to fraction form
    260,066.12/408,069.85 = 408,069.85/x
  3. Step 3: Cross multiply
    260,066.12x = 408,069.85 × 408,069.85
  4. Step 4: Simplify right side
    260,066.12x = 166,521,004,551.27
  5. Step 5: Solve for x
    x = 166,521,004,551.27/260,066.12
  6. Step 6: Final answer
    x = 640,302.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.