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Finding the Third Proportional to 122,637 and 173,911

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Solution

The third proportional to 122,637 and 173,911 is: 246,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,637 : 173,911 = 173,911 : x
  2. Step 2: Convert to fraction form
    122,637/173,911 = 173,911/x
  3. Step 3: Cross multiply
    122,637x = 173,911 × 173,911
  4. Step 4: Simplify right side
    122,637x = 30,245,035,921
  5. Step 5: Solve for x
    x = 30,245,035,921/122,637
  6. Step 6: Final answer
    x = 246,622.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.