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Finding the Third Proportional to 129,906 and 205,956

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Solution

The third proportional to 129,906 and 205,956 is: 326,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,906 : 205,956 = 205,956 : x
  2. Step 2: Convert to fraction form
    129,906/205,956 = 205,956/x
  3. Step 3: Cross multiply
    129,906x = 205,956 × 205,956
  4. Step 4: Simplify right side
    129,906x = 42,417,873,936
  5. Step 5: Solve for x
    x = 42,417,873,936/129,906
  6. Step 6: Final answer
    x = 326,527.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.