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Finding the Third Proportional to 105,857 and 163,968

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Solution

The third proportional to 105,857 and 163,968 is: 253,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,857 : 163,968 = 163,968 : x
  2. Step 2: Convert to fraction form
    105,857/163,968 = 163,968/x
  3. Step 3: Cross multiply
    105,857x = 163,968 × 163,968
  4. Step 4: Simplify right side
    105,857x = 26,885,505,024
  5. Step 5: Solve for x
    x = 26,885,505,024/105,857
  6. Step 6: Final answer
    x = 253,979.47

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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.