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Finding the Third Proportional to 129,808 and 279,705

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Solution

The third proportional to 129,808 and 279,705 is: 602,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,808 : 279,705 = 279,705 : x
  2. Step 2: Convert to fraction form
    129,808/279,705 = 279,705/x
  3. Step 3: Cross multiply
    129,808x = 279,705 × 279,705
  4. Step 4: Simplify right side
    129,808x = 78,234,887,025
  5. Step 5: Solve for x
    x = 78,234,887,025/129,808
  6. Step 6: Final answer
    x = 602,696.96

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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.