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Finding the Third Proportional to 253,640 and 379,767

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Solution

The third proportional to 253,640 and 379,767 is: 568,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,640 : 379,767 = 379,767 : x
  2. Step 2: Convert to fraction form
    253,640/379,767 = 379,767/x
  3. Step 3: Cross multiply
    253,640x = 379,767 × 379,767
  4. Step 4: Simplify right side
    253,640x = 144,222,974,289
  5. Step 5: Solve for x
    x = 144,222,974,289/253,640
  6. Step 6: Final answer
    x = 568,612.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.