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Finding the Third Proportional to 156,411 and 343,926

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Solution

The third proportional to 156,411 and 343,926 is: 756,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,411 : 343,926 = 343,926 : x
  2. Step 2: Convert to fraction form
    156,411/343,926 = 343,926/x
  3. Step 3: Cross multiply
    156,411x = 343,926 × 343,926
  4. Step 4: Simplify right side
    156,411x = 118,285,093,476
  5. Step 5: Solve for x
    x = 118,285,093,476/156,411
  6. Step 6: Final answer
    x = 756,245.36

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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.