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Finding the Third Proportional to 172,635 and 376,653

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Solution

The third proportional to 172,635 and 376,653 is: 821,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,635 : 376,653 = 376,653 : x
  2. Step 2: Convert to fraction form
    172,635/376,653 = 376,653/x
  3. Step 3: Cross multiply
    172,635x = 376,653 × 376,653
  4. Step 4: Simplify right side
    172,635x = 141,867,482,409
  5. Step 5: Solve for x
    x = 141,867,482,409/172,635
  6. Step 6: Final answer
    x = 821,777.06

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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.