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Finding the Third Proportional to 102,449 and 209,956

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Solution

The third proportional to 102,449 and 209,956 is: 430,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,449 : 209,956 = 209,956 : x
  2. Step 2: Convert to fraction form
    102,449/209,956 = 209,956/x
  3. Step 3: Cross multiply
    102,449x = 209,956 × 209,956
  4. Step 4: Simplify right side
    102,449x = 44,081,521,936
  5. Step 5: Solve for x
    x = 44,081,521,936/102,449
  6. Step 6: Final answer
    x = 430,277.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.