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Finding the Third Proportional to 133,400 and 314,899

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Solution

The third proportional to 133,400 and 314,899 is: 743,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,400 : 314,899 = 314,899 : x
  2. Step 2: Convert to fraction form
    133,400/314,899 = 314,899/x
  3. Step 3: Cross multiply
    133,400x = 314,899 × 314,899
  4. Step 4: Simplify right side
    133,400x = 99,161,380,201
  5. Step 5: Solve for x
    x = 99,161,380,201/133,400
  6. Step 6: Final answer
    x = 743,338.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.