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Finding the Third Proportional to 311,709 and 681,735

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Solution

The third proportional to 311,709 and 681,735 is: 1,491,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,709 : 681,735 = 681,735 : x
  2. Step 2: Convert to fraction form
    311,709/681,735 = 681,735/x
  3. Step 3: Cross multiply
    311,709x = 681,735 × 681,735
  4. Step 4: Simplify right side
    311,709x = 464,762,610,225
  5. Step 5: Solve for x
    x = 464,762,610,225/311,709
  6. Step 6: Final answer
    x = 1,491,014.41

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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.