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Finding the Third Proportional to 248,396.25 and 393,971.25

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Solution

The third proportional to 248,396.25 and 393,971.25 is: 624,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,396.25 : 393,971.25 = 393,971.25 : x
  2. Step 2: Convert to fraction form
    248,396.25/393,971.25 = 393,971.25/x
  3. Step 3: Cross multiply
    248,396.25x = 393,971.25 × 393,971.25
  4. Step 4: Simplify right side
    248,396.25x = 155,213,345,826.56
  5. Step 5: Solve for x
    x = 155,213,345,826.56/248,396.25
  6. Step 6: Final answer
    x = 624,861.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.