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Finding the Third Proportional to 68,782.50 and 150,687

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Solution

The third proportional to 68,782.50 and 150,687 is: 330,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,782.50 : 150,687 = 150,687 : x
  2. Step 2: Convert to fraction form
    68,782.50/150,687 = 150,687/x
  3. Step 3: Cross multiply
    68,782.50x = 150,687 × 150,687
  4. Step 4: Simplify right side
    68,782.50x = 22,706,571,969
  5. Step 5: Solve for x
    x = 22,706,571,969/68,782.50
  6. Step 6: Final answer
    x = 330,121.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.