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Finding the Third Proportional to 253,327.50 and 356,298.75

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Solution

The third proportional to 253,327.50 and 356,298.75 is: 501,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,327.50 : 356,298.75 = 356,298.75 : x
  2. Step 2: Convert to fraction form
    253,327.50/356,298.75 = 356,298.75/x
  3. Step 3: Cross multiply
    253,327.50x = 356,298.75 × 356,298.75
  4. Step 4: Simplify right side
    253,327.50x = 126,948,799,251.56
  5. Step 5: Solve for x
    x = 126,948,799,251.56/253,327.50
  6. Step 6: Final answer
    x = 501,125.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.