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Finding the Third Proportional to 129,906 and 279,152

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Solution

The third proportional to 129,906 and 279,152 is: 599,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,906 : 279,152 = 279,152 : x
  2. Step 2: Convert to fraction form
    129,906/279,152 = 279,152/x
  3. Step 3: Cross multiply
    129,906x = 279,152 × 279,152
  4. Step 4: Simplify right side
    129,906x = 77,925,839,104
  5. Step 5: Solve for x
    x = 77,925,839,104/129,906
  6. Step 6: Final answer
    x = 599,863.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.