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Finding the Third Proportional to 203,848 and 276,820

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Solution

The third proportional to 203,848 and 276,820 is: 375,913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,848 : 276,820 = 276,820 : x
  2. Step 2: Convert to fraction form
    203,848/276,820 = 276,820/x
  3. Step 3: Cross multiply
    203,848x = 276,820 × 276,820
  4. Step 4: Simplify right side
    203,848x = 76,629,312,400
  5. Step 5: Solve for x
    x = 76,629,312,400/203,848
  6. Step 6: Final answer
    x = 375,913.98

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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.