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Finding the Third Proportional to 60,642 and 131,885

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Solution

The third proportional to 60,642 and 131,885 is: 286,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,642 : 131,885 = 131,885 : x
  2. Step 2: Convert to fraction form
    60,642/131,885 = 131,885/x
  3. Step 3: Cross multiply
    60,642x = 131,885 × 131,885
  4. Step 4: Simplify right side
    60,642x = 17,393,653,225
  5. Step 5: Solve for x
    x = 17,393,653,225/60,642
  6. Step 6: Final answer
    x = 286,825.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.