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Finding the Third Proportional to 270,904.50 and 419,245.88

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Solution

The third proportional to 270,904.50 and 419,245.88 is: 648,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,904.50 : 419,245.88 = 419,245.88 : x
  2. Step 2: Convert to fraction form
    270,904.50/419,245.88 = 419,245.88/x
  3. Step 3: Cross multiply
    270,904.50x = 419,245.88 × 419,245.88
  4. Step 4: Simplify right side
    270,904.50x = 175,767,103,704.52
  5. Step 5: Solve for x
    x = 175,767,103,704.52/270,904.50
  6. Step 6: Final answer
    x = 648,815.74

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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.