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Finding the Third Proportional to 203,840 and 276,808

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Solution

The third proportional to 203,840 and 276,808 is: 375,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,840 : 276,808 = 276,808 : x
  2. Step 2: Convert to fraction form
    203,840/276,808 = 276,808/x
  3. Step 3: Cross multiply
    203,840x = 276,808 × 276,808
  4. Step 4: Simplify right side
    203,840x = 76,622,668,864
  5. Step 5: Solve for x
    x = 76,622,668,864/203,840
  6. Step 6: Final answer
    x = 375,896.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.