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Finding the Third Proportional to 133,027 and 287,153

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Solution

The third proportional to 133,027 and 287,153 is: 619,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,027 : 287,153 = 287,153 : x
  2. Step 2: Convert to fraction form
    133,027/287,153 = 287,153/x
  3. Step 3: Cross multiply
    133,027x = 287,153 × 287,153
  4. Step 4: Simplify right side
    133,027x = 82,456,845,409
  5. Step 5: Solve for x
    x = 82,456,845,409/133,027
  6. Step 6: Final answer
    x = 619,850.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.