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Finding the Third Proportional to 87,280.50 and 133,457

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Solution

The third proportional to 87,280.50 and 133,457 is: 204,063.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,280.50 : 133,457 = 133,457 : x
  2. Step 2: Convert to fraction form
    87,280.50/133,457 = 133,457/x
  3. Step 3: Cross multiply
    87,280.50x = 133,457 × 133,457
  4. Step 4: Simplify right side
    87,280.50x = 17,810,770,849
  5. Step 5: Solve for x
    x = 17,810,770,849/87,280.50
  6. Step 6: Final answer
    x = 204,063.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.