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Finding the Third Proportional to 173,287 and 379,185

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Solution

The third proportional to 173,287 and 379,185 is: 829,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,287 : 379,185 = 379,185 : x
  2. Step 2: Convert to fraction form
    173,287/379,185 = 379,185/x
  3. Step 3: Cross multiply
    173,287x = 379,185 × 379,185
  4. Step 4: Simplify right side
    173,287x = 143,781,264,225
  5. Step 5: Solve for x
    x = 143,781,264,225/173,287
  6. Step 6: Final answer
    x = 829,729.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.