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Finding the Third Proportional to 156,910 and 239,469

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Solution

The third proportional to 156,910 and 239,469 is: 365,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,910 : 239,469 = 239,469 : x
  2. Step 2: Convert to fraction form
    156,910/239,469 = 239,469/x
  3. Step 3: Cross multiply
    156,910x = 239,469 × 239,469
  4. Step 4: Simplify right side
    156,910x = 57,345,401,961
  5. Step 5: Solve for x
    x = 57,345,401,961/156,910
  6. Step 6: Final answer
    x = 365,466.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.