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Finding the Third Proportional to 254,297.25 and 311,159.25

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Solution

The third proportional to 254,297.25 and 311,159.25 is: 380,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,297.25 : 311,159.25 = 311,159.25 : x
  2. Step 2: Convert to fraction form
    254,297.25/311,159.25 = 311,159.25/x
  3. Step 3: Cross multiply
    254,297.25x = 311,159.25 × 311,159.25
  4. Step 4: Simplify right side
    254,297.25x = 96,820,078,860.56
  5. Step 5: Solve for x
    x = 96,820,078,860.56/254,297.25
  6. Step 6: Final answer
    x = 380,735.85

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.