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Finding the Third Proportional to 64,211 and 137,325

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Solution

The third proportional to 64,211 and 137,325 is: 293,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,211 : 137,325 = 137,325 : x
  2. Step 2: Convert to fraction form
    64,211/137,325 = 137,325/x
  3. Step 3: Cross multiply
    64,211x = 137,325 × 137,325
  4. Step 4: Simplify right side
    64,211x = 18,858,155,625
  5. Step 5: Solve for x
    x = 18,858,155,625/64,211
  6. Step 6: Final answer
    x = 293,690.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.