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Finding the Third Proportional to 90,842 and 136,293

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Solution

The third proportional to 90,842 and 136,293 is: 204,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,842 : 136,293 = 136,293 : x
  2. Step 2: Convert to fraction form
    90,842/136,293 = 136,293/x
  3. Step 3: Cross multiply
    90,842x = 136,293 × 136,293
  4. Step 4: Simplify right side
    90,842x = 18,575,781,849
  5. Step 5: Solve for x
    x = 18,575,781,849/90,842
  6. Step 6: Final answer
    x = 204,484.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.