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Finding the Third Proportional to 172,598 and 385,372

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Solution

The third proportional to 172,598 and 385,372 is: 860,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,598 : 385,372 = 385,372 : x
  2. Step 2: Convert to fraction form
    172,598/385,372 = 385,372/x
  3. Step 3: Cross multiply
    172,598x = 385,372 × 385,372
  4. Step 4: Simplify right side
    172,598x = 148,511,578,384
  5. Step 5: Solve for x
    x = 148,511,578,384/172,598
  6. Step 6: Final answer
    x = 860,447.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.