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Finding the Third Proportional to 68,728.50 and 147,825

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Solution

The third proportional to 68,728.50 and 147,825 is: 317,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,728.50 : 147,825 = 147,825 : x
  2. Step 2: Convert to fraction form
    68,728.50/147,825 = 147,825/x
  3. Step 3: Cross multiply
    68,728.50x = 147,825 × 147,825
  4. Step 4: Simplify right side
    68,728.50x = 21,852,230,625
  5. Step 5: Solve for x
    x = 21,852,230,625/68,728.50
  6. Step 6: Final answer
    x = 317,950.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.