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Finding the Third Proportional to 124,728 and 221,750

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Solution

The third proportional to 124,728 and 221,750 is: 394,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,728 : 221,750 = 221,750 : x
  2. Step 2: Convert to fraction form
    124,728/221,750 = 221,750/x
  3. Step 3: Cross multiply
    124,728x = 221,750 × 221,750
  4. Step 4: Simplify right side
    124,728x = 49,173,062,500
  5. Step 5: Solve for x
    x = 49,173,062,500/124,728
  6. Step 6: Final answer
    x = 394,242.37

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.