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Finding the Third Proportional to 171,408 and 351,168

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Solution

The third proportional to 171,408 and 351,168 is: 719,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,408 : 351,168 = 351,168 : x
  2. Step 2: Convert to fraction form
    171,408/351,168 = 351,168/x
  3. Step 3: Cross multiply
    171,408x = 351,168 × 351,168
  4. Step 4: Simplify right side
    171,408x = 123,318,964,224
  5. Step 5: Solve for x
    x = 123,318,964,224/171,408
  6. Step 6: Final answer
    x = 719,446.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.