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Finding the Third Proportional to 105,639 and 144,849

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Solution

The third proportional to 105,639 and 144,849 is: 198,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,639 : 144,849 = 144,849 : x
  2. Step 2: Convert to fraction form
    105,639/144,849 = 144,849/x
  3. Step 3: Cross multiply
    105,639x = 144,849 × 144,849
  4. Step 4: Simplify right side
    105,639x = 20,981,232,801
  5. Step 5: Solve for x
    x = 20,981,232,801/105,639
  6. Step 6: Final answer
    x = 198,612.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.