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Finding the Third Proportional to 105,912 and 163,844

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Solution

The third proportional to 105,912 and 163,844 is: 253,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,912 : 163,844 = 163,844 : x
  2. Step 2: Convert to fraction form
    105,912/163,844 = 163,844/x
  3. Step 3: Cross multiply
    105,912x = 163,844 × 163,844
  4. Step 4: Simplify right side
    105,912x = 26,844,856,336
  5. Step 5: Solve for x
    x = 26,844,856,336/105,912
  6. Step 6: Final answer
    x = 253,463.78

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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.