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Finding the Third Proportional to 65,891 and 128,468

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Solution

The third proportional to 65,891 and 128,468 is: 250,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,891 : 128,468 = 128,468 : x
  2. Step 2: Convert to fraction form
    65,891/128,468 = 128,468/x
  3. Step 3: Cross multiply
    65,891x = 128,468 × 128,468
  4. Step 4: Simplify right side
    65,891x = 16,504,027,024
  5. Step 5: Solve for x
    x = 16,504,027,024/65,891
  6. Step 6: Final answer
    x = 250,474.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.