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Finding the Third Proportional to 276,627 and 417,480.75

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Solution

The third proportional to 276,627 and 417,480.75 is: 630,054.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,627 : 417,480.75 = 417,480.75 : x
  2. Step 2: Convert to fraction form
    276,627/417,480.75 = 417,480.75/x
  3. Step 3: Cross multiply
    276,627x = 417,480.75 × 417,480.75
  4. Step 4: Simplify right side
    276,627x = 174,290,176,620.56
  5. Step 5: Solve for x
    x = 174,290,176,620.56/276,627
  6. Step 6: Final answer
    x = 630,054.83

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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.