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Finding the Third Proportional to 133,419 and 202,881

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Solution

The third proportional to 133,419 and 202,881 is: 308,507.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,419 : 202,881 = 202,881 : x
  2. Step 2: Convert to fraction form
    133,419/202,881 = 202,881/x
  3. Step 3: Cross multiply
    133,419x = 202,881 × 202,881
  4. Step 4: Simplify right side
    133,419x = 41,160,700,161
  5. Step 5: Solve for x
    x = 41,160,700,161/133,419
  6. Step 6: Final answer
    x = 308,507.04

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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.