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Finding the Third Proportional to 276,128 and 569,872

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Solution

The third proportional to 276,128 and 569,872 is: 1,176,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,128 : 569,872 = 569,872 : x
  2. Step 2: Convert to fraction form
    276,128/569,872 = 569,872/x
  3. Step 3: Cross multiply
    276,128x = 569,872 × 569,872
  4. Step 4: Simplify right side
    276,128x = 324,754,096,384
  5. Step 5: Solve for x
    x = 324,754,096,384/276,128
  6. Step 6: Final answer
    x = 1,176,099.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.