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Finding the Third Proportional to 276,718 and 415,078

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Solution

The third proportional to 276,718 and 415,078 is: 622,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,718 : 415,078 = 415,078 : x
  2. Step 2: Convert to fraction form
    276,718/415,078 = 415,078/x
  3. Step 3: Cross multiply
    276,718x = 415,078 × 415,078
  4. Step 4: Simplify right side
    276,718x = 172,289,746,084
  5. Step 5: Solve for x
    x = 172,289,746,084/276,718
  6. Step 6: Final answer
    x = 622,618.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.