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Finding the Third Proportional to 179,640 and 276,949

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Solution

The third proportional to 179,640 and 276,949 is: 426,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,640 : 276,949 = 276,949 : x
  2. Step 2: Convert to fraction form
    179,640/276,949 = 276,949/x
  3. Step 3: Cross multiply
    179,640x = 276,949 × 276,949
  4. Step 4: Simplify right side
    179,640x = 76,700,748,601
  5. Step 5: Solve for x
    x = 76,700,748,601/179,640
  6. Step 6: Final answer
    x = 426,969.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.