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Finding the Third Proportional to 105,743 and 163,983

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Solution

The third proportional to 105,743 and 163,983 is: 254,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,743 : 163,983 = 163,983 : x
  2. Step 2: Convert to fraction form
    105,743/163,983 = 163,983/x
  3. Step 3: Cross multiply
    105,743x = 163,983 × 163,983
  4. Step 4: Simplify right side
    105,743x = 26,890,424,289
  5. Step 5: Solve for x
    x = 26,890,424,289/105,743
  6. Step 6: Final answer
    x = 254,299.81

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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.