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Finding the Third Proportional to 274,451.41 and 428,276.11

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Solution

The third proportional to 274,451.41 and 428,276.11 is: 668,316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,451.41 : 428,276.11 = 428,276.11 : x
  2. Step 2: Convert to fraction form
    274,451.41/428,276.11 = 428,276.11/x
  3. Step 3: Cross multiply
    274,451.41x = 428,276.11 × 428,276.11
  4. Step 4: Simplify right side
    274,451.41x = 183,420,425,861.39
  5. Step 5: Solve for x
    x = 183,420,425,861.39/274,451.41
  6. Step 6: Final answer
    x = 668,316.56

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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.