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Finding the Third Proportional to 174,645 and 381,042

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Solution

The third proportional to 174,645 and 381,042 is: 831,360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,645 : 381,042 = 381,042 : x
  2. Step 2: Convert to fraction form
    174,645/381,042 = 381,042/x
  3. Step 3: Cross multiply
    174,645x = 381,042 × 381,042
  4. Step 4: Simplify right side
    174,645x = 145,193,005,764
  5. Step 5: Solve for x
    x = 145,193,005,764/174,645
  6. Step 6: Final answer
    x = 831,360.79

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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.