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Finding the Third Proportional to 311,115 and 664,875

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Solution

The third proportional to 311,115 and 664,875 is: 1,420,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,115 : 664,875 = 664,875 : x
  2. Step 2: Convert to fraction form
    311,115/664,875 = 664,875/x
  3. Step 3: Cross multiply
    311,115x = 664,875 × 664,875
  4. Step 4: Simplify right side
    311,115x = 442,058,765,625
  5. Step 5: Solve for x
    x = 442,058,765,625/311,115
  6. Step 6: Final answer
    x = 1,420,885.41

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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.