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Finding the Third Proportional to 133,132.50 and 289,593

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Solution

The third proportional to 133,132.50 and 289,593 is: 629,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,132.50 : 289,593 = 289,593 : x
  2. Step 2: Convert to fraction form
    133,132.50/289,593 = 289,593/x
  3. Step 3: Cross multiply
    133,132.50x = 289,593 × 289,593
  4. Step 4: Simplify right side
    133,132.50x = 83,864,105,649
  5. Step 5: Solve for x
    x = 83,864,105,649/133,132.50
  6. Step 6: Final answer
    x = 629,929.62

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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.