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Finding the Third Proportional to 156,126 and 338,307

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Solution

The third proportional to 156,126 and 338,307 is: 733,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,126 : 338,307 = 338,307 : x
  2. Step 2: Convert to fraction form
    156,126/338,307 = 338,307/x
  3. Step 3: Cross multiply
    156,126x = 338,307 × 338,307
  4. Step 4: Simplify right side
    156,126x = 114,451,626,249
  5. Step 5: Solve for x
    x = 114,451,626,249/156,126
  6. Step 6: Final answer
    x = 733,072.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.