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Finding the Third Proportional to 201,318 and 302,481

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Solution

The third proportional to 201,318 and 302,481 is: 454,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,318 : 302,481 = 302,481 : x
  2. Step 2: Convert to fraction form
    201,318/302,481 = 302,481/x
  3. Step 3: Cross multiply
    201,318x = 302,481 × 302,481
  4. Step 4: Simplify right side
    201,318x = 91,494,755,361
  5. Step 5: Solve for x
    x = 91,494,755,361/201,318
  6. Step 6: Final answer
    x = 454,478.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.