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Finding the Third Proportional to 311,778 and 671,640

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Solution

The third proportional to 311,778 and 671,640 is: 1,446,863.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,778 : 671,640 = 671,640 : x
  2. Step 2: Convert to fraction form
    311,778/671,640 = 671,640/x
  3. Step 3: Cross multiply
    311,778x = 671,640 × 671,640
  4. Step 4: Simplify right side
    311,778x = 451,100,289,600
  5. Step 5: Solve for x
    x = 451,100,289,600/311,778
  6. Step 6: Final answer
    x = 1,446,863.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.