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Finding the Third Proportional to 311,808 and 681,936

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Solution

The third proportional to 311,808 and 681,936 is: 1,491,420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,808 : 681,936 = 681,936 : x
  2. Step 2: Convert to fraction form
    311,808/681,936 = 681,936/x
  3. Step 3: Cross multiply
    311,808x = 681,936 × 681,936
  4. Step 4: Simplify right side
    311,808x = 465,036,708,096
  5. Step 5: Solve for x
    x = 465,036,708,096/311,808
  6. Step 6: Final answer
    x = 1,491,420.07

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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.