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Finding the Third Proportional to 154,962 and 239,451

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Solution

The third proportional to 154,962 and 239,451 is: 370,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,962 : 239,451 = 239,451 : x
  2. Step 2: Convert to fraction form
    154,962/239,451 = 239,451/x
  3. Step 3: Cross multiply
    154,962x = 239,451 × 239,451
  4. Step 4: Simplify right side
    154,962x = 57,336,781,401
  5. Step 5: Solve for x
    x = 57,336,781,401/154,962
  6. Step 6: Final answer
    x = 370,005.43

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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.