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Finding the Third Proportional to 203,216 and 308,877

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Solution

The third proportional to 203,216 and 308,877 is: 469,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,216 : 308,877 = 308,877 : x
  2. Step 2: Convert to fraction form
    203,216/308,877 = 308,877/x
  3. Step 3: Cross multiply
    203,216x = 308,877 × 308,877
  4. Step 4: Simplify right side
    203,216x = 95,405,001,129
  5. Step 5: Solve for x
    x = 95,405,001,129/203,216
  6. Step 6: Final answer
    x = 469,475.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.