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Finding the Third Proportional to 201,787.50 and 303,159

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Solution

The third proportional to 201,787.50 and 303,159 is: 455,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,787.50 : 303,159 = 303,159 : x
  2. Step 2: Convert to fraction form
    201,787.50/303,159 = 303,159/x
  3. Step 3: Cross multiply
    201,787.50x = 303,159 × 303,159
  4. Step 4: Simplify right side
    201,787.50x = 91,905,379,281
  5. Step 5: Solve for x
    x = 91,905,379,281/201,787.50
  6. Step 6: Final answer
    x = 455,456.26

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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.