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Finding the Third Proportional to 133,141.50 and 289,611

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Solution

The third proportional to 133,141.50 and 289,611 is: 629,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,141.50 : 289,611 = 289,611 : x
  2. Step 2: Convert to fraction form
    133,141.50/289,611 = 289,611/x
  3. Step 3: Cross multiply
    133,141.50x = 289,611 × 289,611
  4. Step 4: Simplify right side
    133,141.50x = 83,874,531,321
  5. Step 5: Solve for x
    x = 83,874,531,321/133,141.50
  6. Step 6: Final answer
    x = 629,965.35

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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.