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Finding the Third Proportional to 133,096 and 287,515

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Solution

The third proportional to 133,096 and 287,515 is: 621,092.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096 : 287,515 = 287,515 : x
  2. Step 2: Convert to fraction form
    133,096/287,515 = 287,515/x
  3. Step 3: Cross multiply
    133,096x = 287,515 × 287,515
  4. Step 4: Simplify right side
    133,096x = 82,664,875,225
  5. Step 5: Solve for x
    x = 82,664,875,225/133,096
  6. Step 6: Final answer
    x = 621,092.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.