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Finding the Third Proportional to 65,910 and 136,493

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Solution

The third proportional to 65,910 and 136,493 is: 282,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,910 : 136,493 = 136,493 : x
  2. Step 2: Convert to fraction form
    65,910/136,493 = 136,493/x
  3. Step 3: Cross multiply
    65,910x = 136,493 × 136,493
  4. Step 4: Simplify right side
    65,910x = 18,630,339,049
  5. Step 5: Solve for x
    x = 18,630,339,049/65,910
  6. Step 6: Final answer
    x = 282,663.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.