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Finding the Third Proportional to 212,820.75 and 311,046.75

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Solution

The third proportional to 212,820.75 and 311,046.75 is: 454,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,820.75 : 311,046.75 = 311,046.75 : x
  2. Step 2: Convert to fraction form
    212,820.75/311,046.75 = 311,046.75/x
  3. Step 3: Cross multiply
    212,820.75x = 311,046.75 × 311,046.75
  4. Step 4: Simplify right side
    212,820.75x = 96,750,080,685.56
  5. Step 5: Solve for x
    x = 96,750,080,685.56/212,820.75
  6. Step 6: Final answer
    x = 454,608.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.