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Finding the Third Proportional to 133,986 and 287,400

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Solution

The third proportional to 133,986 and 287,400 is: 616,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,986 : 287,400 = 287,400 : x
  2. Step 2: Convert to fraction form
    133,986/287,400 = 287,400/x
  3. Step 3: Cross multiply
    133,986x = 287,400 × 287,400
  4. Step 4: Simplify right side
    133,986x = 82,598,760,000
  5. Step 5: Solve for x
    x = 82,598,760,000/133,986
  6. Step 6: Final answer
    x = 616,473.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.