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Finding the Third Proportional to 105,806 and 163,965

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Solution

The third proportional to 105,806 and 163,965 is: 254,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,806 : 163,965 = 163,965 : x
  2. Step 2: Convert to fraction form
    105,806/163,965 = 163,965/x
  3. Step 3: Cross multiply
    105,806x = 163,965 × 163,965
  4. Step 4: Simplify right side
    105,806x = 26,884,521,225
  5. Step 5: Solve for x
    x = 26,884,521,225/105,806
  6. Step 6: Final answer
    x = 254,092.60

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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.