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Finding the Third Proportional to 211,243.50 and 318,660.75

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Solution

The third proportional to 211,243.50 and 318,660.75 is: 480,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,243.50 : 318,660.75 = 318,660.75 : x
  2. Step 2: Convert to fraction form
    211,243.50/318,660.75 = 318,660.75/x
  3. Step 3: Cross multiply
    211,243.50x = 318,660.75 × 318,660.75
  4. Step 4: Simplify right side
    211,243.50x = 101,544,673,590.56
  5. Step 5: Solve for x
    x = 101,544,673,590.56/211,243.50
  6. Step 6: Final answer
    x = 480,699.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.