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Finding the Third Proportional to 226,327.50 and 420,558.75

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Solution

The third proportional to 226,327.50 and 420,558.75 is: 781,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,327.50 : 420,558.75 = 420,558.75 : x
  2. Step 2: Convert to fraction form
    226,327.50/420,558.75 = 420,558.75/x
  3. Step 3: Cross multiply
    226,327.50x = 420,558.75 × 420,558.75
  4. Step 4: Simplify right side
    226,327.50x = 176,869,662,201.56
  5. Step 5: Solve for x
    x = 176,869,662,201.56/226,327.50
  6. Step 6: Final answer
    x = 781,476.68

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.