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Finding the Third Proportional to 227,489 and 356,831

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Solution

The third proportional to 227,489 and 356,831 is: 559,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,489 : 356,831 = 356,831 : x
  2. Step 2: Convert to fraction form
    227,489/356,831 = 356,831/x
  3. Step 3: Cross multiply
    227,489x = 356,831 × 356,831
  4. Step 4: Simplify right side
    227,489x = 127,328,362,561
  5. Step 5: Solve for x
    x = 127,328,362,561/227,489
  6. Step 6: Final answer
    x = 559,712.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.