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Finding the Third Proportional to 133,043 and 289,051

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Solution

The third proportional to 133,043 and 289,051 is: 627,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,043 : 289,051 = 289,051 : x
  2. Step 2: Convert to fraction form
    133,043/289,051 = 289,051/x
  3. Step 3: Cross multiply
    133,043x = 289,051 × 289,051
  4. Step 4: Simplify right side
    133,043x = 83,550,480,601
  5. Step 5: Solve for x
    x = 83,550,480,601/133,043
  6. Step 6: Final answer
    x = 627,996.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.