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Finding the Third Proportional to 105,880.50 and 168,540.75

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Solution

The third proportional to 105,880.50 and 168,540.75 is: 268,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,880.50 : 168,540.75 = 168,540.75 : x
  2. Step 2: Convert to fraction form
    105,880.50/168,540.75 = 168,540.75/x
  3. Step 3: Cross multiply
    105,880.50x = 168,540.75 × 168,540.75
  4. Step 4: Simplify right side
    105,880.50x = 28,405,984,410.56
  5. Step 5: Solve for x
    x = 28,405,984,410.56/105,880.50
  6. Step 6: Final answer
    x = 268,283.44

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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.