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Finding the Third Proportional to 173,381.50 and 378,515

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Solution

The third proportional to 173,381.50 and 378,515 is: 826,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,381.50 : 378,515 = 378,515 : x
  2. Step 2: Convert to fraction form
    173,381.50/378,515 = 378,515/x
  3. Step 3: Cross multiply
    173,381.50x = 378,515 × 378,515
  4. Step 4: Simplify right side
    173,381.50x = 143,273,605,225
  5. Step 5: Solve for x
    x = 143,273,605,225/173,381.50
  6. Step 6: Final answer
    x = 826,348.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.