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Finding the Third Proportional to 105,736 and 163,909

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Solution

The third proportional to 105,736 and 163,909 is: 254,087.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,736 : 163,909 = 163,909 : x
  2. Step 2: Convert to fraction form
    105,736/163,909 = 163,909/x
  3. Step 3: Cross multiply
    105,736x = 163,909 × 163,909
  4. Step 4: Simplify right side
    105,736x = 26,866,160,281
  5. Step 5: Solve for x
    x = 26,866,160,281/105,736
  6. Step 6: Final answer
    x = 254,087.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.