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Finding the Third Proportional to 276,726 and 415,092

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Solution

The third proportional to 276,726 and 415,092 is: 622,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,726 : 415,092 = 415,092 : x
  2. Step 2: Convert to fraction form
    276,726/415,092 = 415,092/x
  3. Step 3: Cross multiply
    276,726x = 415,092 × 415,092
  4. Step 4: Simplify right side
    276,726x = 172,301,368,464
  5. Step 5: Solve for x
    x = 172,301,368,464/276,726
  6. Step 6: Final answer
    x = 622,642.50

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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.