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Finding the Third Proportional to 287,016 and 393,996

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Solution

The third proportional to 287,016 and 393,996 is: 540,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,016 : 393,996 = 393,996 : x
  2. Step 2: Convert to fraction form
    287,016/393,996 = 393,996/x
  3. Step 3: Cross multiply
    287,016x = 393,996 × 393,996
  4. Step 4: Simplify right side
    287,016x = 155,232,848,016
  5. Step 5: Solve for x
    x = 155,232,848,016/287,016
  6. Step 6: Final answer
    x = 540,850.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.