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Finding the Third Proportional to 122,380 and 164,694

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Solution

The third proportional to 122,380 and 164,694 is: 221,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,380 : 164,694 = 164,694 : x
  2. Step 2: Convert to fraction form
    122,380/164,694 = 164,694/x
  3. Step 3: Cross multiply
    122,380x = 164,694 × 164,694
  4. Step 4: Simplify right side
    122,380x = 27,124,113,636
  5. Step 5: Solve for x
    x = 27,124,113,636/122,380
  6. Step 6: Final answer
    x = 221,638.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.