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Finding the Third Proportional to 212,149.13 and 283,231.69

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Solution

The third proportional to 212,149.13 and 283,231.69 is: 378,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,149.13 : 283,231.69 = 283,231.69 : x
  2. Step 2: Convert to fraction form
    212,149.13/283,231.69 = 283,231.69/x
  3. Step 3: Cross multiply
    212,149.13x = 283,231.69 × 283,231.69
  4. Step 4: Simplify right side
    212,149.13x = 80,220,188,804.10
  5. Step 5: Solve for x
    x = 80,220,188,804.10/212,149.13
  6. Step 6: Final answer
    x = 378,131.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.