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Finding the Third Proportional to 311,729 and 681,790

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Solution

The third proportional to 311,729 and 681,790 is: 1,491,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,729 : 681,790 = 681,790 : x
  2. Step 2: Convert to fraction form
    311,729/681,790 = 681,790/x
  3. Step 3: Cross multiply
    311,729x = 681,790 × 681,790
  4. Step 4: Simplify right side
    311,729x = 464,837,604,100
  5. Step 5: Solve for x
    x = 464,837,604,100/311,729
  6. Step 6: Final answer
    x = 1,491,159.32

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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.