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Finding the Third Proportional to 247,815 and 543,123

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Solution

The third proportional to 247,815 and 543,123 is: 1,190,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,815 : 543,123 = 543,123 : x
  2. Step 2: Convert to fraction form
    247,815/543,123 = 543,123/x
  3. Step 3: Cross multiply
    247,815x = 543,123 × 543,123
  4. Step 4: Simplify right side
    247,815x = 294,982,593,129
  5. Step 5: Solve for x
    x = 294,982,593,129/247,815
  6. Step 6: Final answer
    x = 1,190,333.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.