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Finding the Third Proportional to 213,900.75 and 279,814.50

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Solution

The third proportional to 213,900.75 and 279,814.50 is: 366,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,900.75 : 279,814.50 = 279,814.50 : x
  2. Step 2: Convert to fraction form
    213,900.75/279,814.50 = 279,814.50/x
  3. Step 3: Cross multiply
    213,900.75x = 279,814.50 × 279,814.50
  4. Step 4: Simplify right side
    213,900.75x = 78,296,154,410.25
  5. Step 5: Solve for x
    x = 78,296,154,410.25/213,900.75
  6. Step 6: Final answer
    x = 366,039.64

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.