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Finding the Third Proportional to 136,245.25 and 318,228.50

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Solution

The third proportional to 136,245.25 and 318,228.50 is: 743,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,245.25 : 318,228.50 = 318,228.50 : x
  2. Step 2: Convert to fraction form
    136,245.25/318,228.50 = 318,228.50/x
  3. Step 3: Cross multiply
    136,245.25x = 318,228.50 × 318,228.50
  4. Step 4: Simplify right side
    136,245.25x = 101,269,378,212.25
  5. Step 5: Solve for x
    x = 101,269,378,212.25/136,245.25
  6. Step 6: Final answer
    x = 743,287.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.