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Finding the Third Proportional to 111,721 and 255,246

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Solution

The third proportional to 111,721 and 255,246 is: 583,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,721 : 255,246 = 255,246 : x
  2. Step 2: Convert to fraction form
    111,721/255,246 = 255,246/x
  3. Step 3: Cross multiply
    111,721x = 255,246 × 255,246
  4. Step 4: Simplify right side
    111,721x = 65,150,520,516
  5. Step 5: Solve for x
    x = 65,150,520,516/111,721
  6. Step 6: Final answer
    x = 583,153.75

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.