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Finding the Third Proportional to 128,758 and 269,282

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Solution

The third proportional to 128,758 and 269,282 is: 563,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,758 : 269,282 = 269,282 : x
  2. Step 2: Convert to fraction form
    128,758/269,282 = 269,282/x
  3. Step 3: Cross multiply
    128,758x = 269,282 × 269,282
  4. Step 4: Simplify right side
    128,758x = 72,512,795,524
  5. Step 5: Solve for x
    x = 72,512,795,524/128,758
  6. Step 6: Final answer
    x = 563,171.19

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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.