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Finding the Third Proportional to 71,018 and 109,295

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Solution

The third proportional to 71,018 and 109,295 is: 168,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,018 : 109,295 = 109,295 : x
  2. Step 2: Convert to fraction form
    71,018/109,295 = 109,295/x
  3. Step 3: Cross multiply
    71,018x = 109,295 × 109,295
  4. Step 4: Simplify right side
    71,018x = 11,945,397,025
  5. Step 5: Solve for x
    x = 11,945,397,025/71,018
  6. Step 6: Final answer
    x = 168,202.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.