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Finding the Third Proportional to 311,726 and 681,784

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Solution

The third proportional to 311,726 and 681,784 is: 1,491,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,726 : 681,784 = 681,784 : x
  2. Step 2: Convert to fraction form
    311,726/681,784 = 681,784/x
  3. Step 3: Cross multiply
    311,726x = 681,784 × 681,784
  4. Step 4: Simplify right side
    311,726x = 464,829,422,656
  5. Step 5: Solve for x
    x = 464,829,422,656/311,726
  6. Step 6: Final answer
    x = 1,491,147.43

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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.