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Finding the Third Proportional to 276,564.38 and 417,375.28

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Solution

The third proportional to 276,564.38 and 417,375.28 is: 629,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,564.38 : 417,375.28 = 417,375.28 : x
  2. Step 2: Convert to fraction form
    276,564.38/417,375.28 = 417,375.28/x
  3. Step 3: Cross multiply
    276,564.38x = 417,375.28 × 417,375.28
  4. Step 4: Simplify right side
    276,564.38x = 174,202,125,398.52
  5. Step 5: Solve for x
    x = 174,202,125,398.52/276,564.38
  6. Step 6: Final answer
    x = 629,879.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.