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Finding the Third Proportional to 276,715 and 417,006

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Solution

The third proportional to 276,715 and 417,006 is: 628,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,715 : 417,006 = 417,006 : x
  2. Step 2: Convert to fraction form
    276,715/417,006 = 417,006/x
  3. Step 3: Cross multiply
    276,715x = 417,006 × 417,006
  4. Step 4: Simplify right side
    276,715x = 173,894,004,036
  5. Step 5: Solve for x
    x = 173,894,004,036/276,715
  6. Step 6: Final answer
    x = 628,422.76

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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.