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Finding the Third Proportional to 117,552 and 252,782

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Solution

The third proportional to 117,552 and 252,782 is: 543,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,552 : 252,782 = 252,782 : x
  2. Step 2: Convert to fraction form
    117,552/252,782 = 252,782/x
  3. Step 3: Cross multiply
    117,552x = 252,782 × 252,782
  4. Step 4: Simplify right side
    117,552x = 63,898,739,524
  5. Step 5: Solve for x
    x = 63,898,739,524/117,552
  6. Step 6: Final answer
    x = 543,578.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.