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Finding the Third Proportional to 65,381 and 141,129

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Solution

The third proportional to 65,381 and 141,129 is: 304,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,381 : 141,129 = 141,129 : x
  2. Step 2: Convert to fraction form
    65,381/141,129 = 141,129/x
  3. Step 3: Cross multiply
    65,381x = 141,129 × 141,129
  4. Step 4: Simplify right side
    65,381x = 19,917,394,641
  5. Step 5: Solve for x
    x = 19,917,394,641/65,381
  6. Step 6: Final answer
    x = 304,635.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.