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Finding the Third Proportional to 81,231 and 168,963

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Solution

The third proportional to 81,231 and 168,963 is: 351,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,231 : 168,963 = 168,963 : x
  2. Step 2: Convert to fraction form
    81,231/168,963 = 168,963/x
  3. Step 3: Cross multiply
    81,231x = 168,963 × 168,963
  4. Step 4: Simplify right side
    81,231x = 28,548,495,369
  5. Step 5: Solve for x
    x = 28,548,495,369/81,231
  6. Step 6: Final answer
    x = 351,448.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.