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Finding the Third Proportional to 64,291 and 140,458

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Solution

The third proportional to 64,291 and 140,458 is: 306,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,291 : 140,458 = 140,458 : x
  2. Step 2: Convert to fraction form
    64,291/140,458 = 140,458/x
  3. Step 3: Cross multiply
    64,291x = 140,458 × 140,458
  4. Step 4: Simplify right side
    64,291x = 19,728,449,764
  5. Step 5: Solve for x
    x = 19,728,449,764/64,291
  6. Step 6: Final answer
    x = 306,861.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.