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Finding the Third Proportional to 272,529.56 and 418,327.88

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Solution

The third proportional to 272,529.56 and 418,327.88 is: 642,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,529.56 : 418,327.88 = 418,327.88 : x
  2. Step 2: Convert to fraction form
    272,529.56/418,327.88 = 418,327.88/x
  3. Step 3: Cross multiply
    272,529.56x = 418,327.88 × 418,327.88
  4. Step 4: Simplify right side
    272,529.56x = 174,998,211,002.02
  5. Step 5: Solve for x
    x = 174,998,211,002.02/272,529.56
  6. Step 6: Final answer
    x = 642,125.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.