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Finding the Third Proportional to 77,244 and 169,256

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Solution

The third proportional to 77,244 and 169,256 is: 370,871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,244 : 169,256 = 169,256 : x
  2. Step 2: Convert to fraction form
    77,244/169,256 = 169,256/x
  3. Step 3: Cross multiply
    77,244x = 169,256 × 169,256
  4. Step 4: Simplify right side
    77,244x = 28,647,593,536
  5. Step 5: Solve for x
    x = 28,647,593,536/77,244
  6. Step 6: Final answer
    x = 370,871.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.