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Finding the Third Proportional to 208,940 and 451,129

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Solution

The third proportional to 208,940 and 451,129 is: 974,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,940 : 451,129 = 451,129 : x
  2. Step 2: Convert to fraction form
    208,940/451,129 = 451,129/x
  3. Step 3: Cross multiply
    208,940x = 451,129 × 451,129
  4. Step 4: Simplify right side
    208,940x = 203,517,374,641
  5. Step 5: Solve for x
    x = 203,517,374,641/208,940
  6. Step 6: Final answer
    x = 974,046.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.