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Finding the Third Proportional to 201,153.50 and 303,780

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Solution

The third proportional to 201,153.50 and 303,780 is: 458,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,153.50 : 303,780 = 303,780 : x
  2. Step 2: Convert to fraction form
    201,153.50/303,780 = 303,780/x
  3. Step 3: Cross multiply
    201,153.50x = 303,780 × 303,780
  4. Step 4: Simplify right side
    201,153.50x = 92,282,288,400
  5. Step 5: Solve for x
    x = 92,282,288,400/201,153.50
  6. Step 6: Final answer
    x = 458,765.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.