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Finding the Third Proportional to 128,742 and 269,244

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Solution

The third proportional to 128,742 and 269,244 is: 563,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,742 : 269,244 = 269,244 : x
  2. Step 2: Convert to fraction form
    128,742/269,244 = 269,244/x
  3. Step 3: Cross multiply
    128,742x = 269,244 × 269,244
  4. Step 4: Simplify right side
    128,742x = 72,492,331,536
  5. Step 5: Solve for x
    x = 72,492,331,536/128,742
  6. Step 6: Final answer
    x = 563,082.22

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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.