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Finding the Third Proportional to 268,818.75 and 419,558.63

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Solution

The third proportional to 268,818.75 and 419,558.63 is: 654,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,818.75 : 419,558.63 = 419,558.63 : x
  2. Step 2: Convert to fraction form
    268,818.75/419,558.63 = 419,558.63/x
  3. Step 3: Cross multiply
    268,818.75x = 419,558.63 × 419,558.63
  4. Step 4: Simplify right side
    268,818.75x = 176,029,439,811.89
  5. Step 5: Solve for x
    x = 176,029,439,811.89/268,818.75
  6. Step 6: Final answer
    x = 654,825.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.