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Finding the Third Proportional to 81,369 and 108,606

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Solution

The third proportional to 81,369 and 108,606 is: 144,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,369 : 108,606 = 108,606 : x
  2. Step 2: Convert to fraction form
    81,369/108,606 = 108,606/x
  3. Step 3: Cross multiply
    81,369x = 108,606 × 108,606
  4. Step 4: Simplify right side
    81,369x = 11,795,263,236
  5. Step 5: Solve for x
    x = 11,795,263,236/81,369
  6. Step 6: Final answer
    x = 144,960.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.