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Finding the Third Proportional to 276,633 and 416,889

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Solution

The third proportional to 276,633 and 416,889 is: 628,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,633 : 416,889 = 416,889 : x
  2. Step 2: Convert to fraction form
    276,633/416,889 = 416,889/x
  3. Step 3: Cross multiply
    276,633x = 416,889 × 416,889
  4. Step 4: Simplify right side
    276,633x = 173,796,438,321
  5. Step 5: Solve for x
    x = 173,796,438,321/276,633
  6. Step 6: Final answer
    x = 628,256.35

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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.