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Finding the Third Proportional to 202,149 and 336,885.75

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Solution

The third proportional to 202,149 and 336,885.75 is: 561,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,149 : 336,885.75 = 336,885.75 : x
  2. Step 2: Convert to fraction form
    202,149/336,885.75 = 336,885.75/x
  3. Step 3: Cross multiply
    202,149x = 336,885.75 × 336,885.75
  4. Step 4: Simplify right side
    202,149x = 113,492,008,553.06
  5. Step 5: Solve for x
    x = 113,492,008,553.06/202,149
  6. Step 6: Final answer
    x = 561,427.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.