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Finding the Third Proportional to 381,206 and 559,077

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Solution

The third proportional to 381,206 and 559,077 is: 819,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,206 : 559,077 = 559,077 : x
  2. Step 2: Convert to fraction form
    381,206/559,077 = 559,077/x
  3. Step 3: Cross multiply
    381,206x = 559,077 × 559,077
  4. Step 4: Simplify right side
    381,206x = 312,567,091,929
  5. Step 5: Solve for x
    x = 312,567,091,929/381,206
  6. Step 6: Final answer
    x = 819,942.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.