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Finding the Third Proportional to 276,720 and 415,081

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Solution

The third proportional to 276,720 and 415,081 is: 622,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,720 : 415,081 = 415,081 : x
  2. Step 2: Convert to fraction form
    276,720/415,081 = 415,081/x
  3. Step 3: Cross multiply
    276,720x = 415,081 × 415,081
  4. Step 4: Simplify right side
    276,720x = 172,292,236,561
  5. Step 5: Solve for x
    x = 172,292,236,561/276,720
  6. Step 6: Final answer
    x = 622,623.00

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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.