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Finding the Third Proportional to 92,142 and 141,129

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Solution

The third proportional to 92,142 and 141,129 is: 216,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,142 : 141,129 = 141,129 : x
  2. Step 2: Convert to fraction form
    92,142/141,129 = 141,129/x
  3. Step 3: Cross multiply
    92,142x = 141,129 × 141,129
  4. Step 4: Simplify right side
    92,142x = 19,917,394,641
  5. Step 5: Solve for x
    x = 19,917,394,641/92,142
  6. Step 6: Final answer
    x = 216,159.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.