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Finding the Third Proportional to 276,673 and 416,957

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Solution

The third proportional to 276,673 and 416,957 is: 628,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,673 : 416,957 = 416,957 : x
  2. Step 2: Convert to fraction form
    276,673/416,957 = 416,957/x
  3. Step 3: Cross multiply
    276,673x = 416,957 × 416,957
  4. Step 4: Simplify right side
    276,673x = 173,853,139,849
  5. Step 5: Solve for x
    x = 173,853,139,849/276,673
  6. Step 6: Final answer
    x = 628,370.46

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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.