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Finding the Third Proportional to 109,420 and 164,238

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Solution

The third proportional to 109,420 and 164,238 is: 246,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,420 : 164,238 = 164,238 : x
  2. Step 2: Convert to fraction form
    109,420/164,238 = 164,238/x
  3. Step 3: Cross multiply
    109,420x = 164,238 × 164,238
  4. Step 4: Simplify right side
    109,420x = 26,974,120,644
  5. Step 5: Solve for x
    x = 26,974,120,644/109,420
  6. Step 6: Final answer
    x = 246,519.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.