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Finding the Third Proportional to 68,956 and 142,226

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Solution

The third proportional to 68,956 and 142,226 is: 293,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,956 : 142,226 = 142,226 : x
  2. Step 2: Convert to fraction form
    68,956/142,226 = 142,226/x
  3. Step 3: Cross multiply
    68,956x = 142,226 × 142,226
  4. Step 4: Simplify right side
    68,956x = 20,228,235,076
  5. Step 5: Solve for x
    x = 20,228,235,076/68,956
  6. Step 6: Final answer
    x = 293,349.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.