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Finding the Third Proportional to 109,000 and 168,836

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Solution

The third proportional to 109,000 and 168,836 is: 261,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,000 : 168,836 = 168,836 : x
  2. Step 2: Convert to fraction form
    109,000/168,836 = 168,836/x
  3. Step 3: Cross multiply
    109,000x = 168,836 × 168,836
  4. Step 4: Simplify right side
    109,000x = 28,505,594,896
  5. Step 5: Solve for x
    x = 28,505,594,896/109,000
  6. Step 6: Final answer
    x = 261,519.22

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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.