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Finding the Third Proportional to 109,220 and 164,834

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Solution

The third proportional to 109,220 and 164,834 is: 248,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,220 : 164,834 = 164,834 : x
  2. Step 2: Convert to fraction form
    109,220/164,834 = 164,834/x
  3. Step 3: Cross multiply
    109,220x = 164,834 × 164,834
  4. Step 4: Simplify right side
    109,220x = 27,170,247,556
  5. Step 5: Solve for x
    x = 27,170,247,556/109,220
  6. Step 6: Final answer
    x = 248,766.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.