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Finding the Third Proportional to 92,042 and 136,767

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Solution

The third proportional to 92,042 and 136,767 is: 203,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,042 : 136,767 = 136,767 : x
  2. Step 2: Convert to fraction form
    92,042/136,767 = 136,767/x
  3. Step 3: Cross multiply
    92,042x = 136,767 × 136,767
  4. Step 4: Simplify right side
    92,042x = 18,705,212,289
  5. Step 5: Solve for x
    x = 18,705,212,289/92,042
  6. Step 6: Final answer
    x = 203,224.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.