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Finding the Third Proportional to 156,941 and 343,041

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Solution

The third proportional to 156,941 and 343,041 is: 749,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,941 : 343,041 = 343,041 : x
  2. Step 2: Convert to fraction form
    156,941/343,041 = 343,041/x
  3. Step 3: Cross multiply
    156,941x = 343,041 × 343,041
  4. Step 4: Simplify right side
    156,941x = 117,677,127,681
  5. Step 5: Solve for x
    x = 117,677,127,681/156,941
  6. Step 6: Final answer
    x = 749,817.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.