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Finding the Third Proportional to 156,936 and 343,030

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Solution

The third proportional to 156,936 and 343,030 is: 749,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,936 : 343,030 = 343,030 : x
  2. Step 2: Convert to fraction form
    156,936/343,030 = 343,030/x
  3. Step 3: Cross multiply
    156,936x = 343,030 × 343,030
  4. Step 4: Simplify right side
    156,936x = 117,669,580,900
  5. Step 5: Solve for x
    x = 117,669,580,900/156,936
  6. Step 6: Final answer
    x = 749,793.42

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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.