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Finding the Third Proportional to 34,508 and 71,221

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Solution

The third proportional to 34,508 and 71,221 is: 146,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,508 : 71,221 = 71,221 : x
  2. Step 2: Convert to fraction form
    34,508/71,221 = 71,221/x
  3. Step 3: Cross multiply
    34,508x = 71,221 × 71,221
  4. Step 4: Simplify right side
    34,508x = 5,072,430,841
  5. Step 5: Solve for x
    x = 5,072,430,841/34,508
  6. Step 6: Final answer
    x = 146,992.90

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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.