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Finding the Third Proportional to 276,714 and 415,072

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Solution

The third proportional to 276,714 and 415,072 is: 622,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,714 : 415,072 = 415,072 : x
  2. Step 2: Convert to fraction form
    276,714/415,072 = 415,072/x
  3. Step 3: Cross multiply
    276,714x = 415,072 × 415,072
  4. Step 4: Simplify right side
    276,714x = 172,284,765,184
  5. Step 5: Solve for x
    x = 172,284,765,184/276,714
  6. Step 6: Final answer
    x = 622,609.50

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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.