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Finding the Third Proportional to 311,101.88 and 664,850.25

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Solution

The third proportional to 311,101.88 and 664,850.25 is: 1,420,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,101.88 : 664,850.25 = 664,850.25 : x
  2. Step 2: Convert to fraction form
    311,101.88/664,850.25 = 664,850.25/x
  3. Step 3: Cross multiply
    311,101.88x = 664,850.25 × 664,850.25
  4. Step 4: Simplify right side
    311,101.88x = 442,025,854,925.06
  5. Step 5: Solve for x
    x = 442,025,854,925.06/311,101.88
  6. Step 6: Final answer
    x = 1,420,839.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.