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Finding the Third Proportional to 133,137 and 289,602

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Solution

The third proportional to 133,137 and 289,602 is: 629,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,137 : 289,602 = 289,602 : x
  2. Step 2: Convert to fraction form
    133,137/289,602 = 289,602/x
  3. Step 3: Cross multiply
    133,137x = 289,602 × 289,602
  4. Step 4: Simplify right side
    133,137x = 83,869,318,404
  5. Step 5: Solve for x
    x = 83,869,318,404/133,137
  6. Step 6: Final answer
    x = 629,947.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.