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Finding the Third Proportional to 71,129 and 153,286

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Solution

The third proportional to 71,129 and 153,286 is: 330,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,129 : 153,286 = 153,286 : x
  2. Step 2: Convert to fraction form
    71,129/153,286 = 153,286/x
  3. Step 3: Cross multiply
    71,129x = 153,286 × 153,286
  4. Step 4: Simplify right side
    71,129x = 23,496,597,796
  5. Step 5: Solve for x
    x = 23,496,597,796/71,129
  6. Step 6: Final answer
    x = 330,337.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.