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Finding the Third Proportional to 120,640 and 252,288

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Solution

The third proportional to 120,640 and 252,288 is: 527,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,640 : 252,288 = 252,288 : x
  2. Step 2: Convert to fraction form
    120,640/252,288 = 252,288/x
  3. Step 3: Cross multiply
    120,640x = 252,288 × 252,288
  4. Step 4: Simplify right side
    120,640x = 63,649,234,944
  5. Step 5: Solve for x
    x = 63,649,234,944/120,640
  6. Step 6: Final answer
    x = 527,596.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.