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Finding the Third Proportional to 171,451.25 and 376,840

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Solution

The third proportional to 171,451.25 and 376,840 is: 828,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,451.25 : 376,840 = 376,840 : x
  2. Step 2: Convert to fraction form
    171,451.25/376,840 = 376,840/x
  3. Step 3: Cross multiply
    171,451.25x = 376,840 × 376,840
  4. Step 4: Simplify right side
    171,451.25x = 142,008,385,600
  5. Step 5: Solve for x
    x = 142,008,385,600/171,451.25
  6. Step 6: Final answer
    x = 828,272.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.