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Finding the Third Proportional to 218,296 and 326,104

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Solution

The third proportional to 218,296 and 326,104 is: 487,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,296 : 326,104 = 326,104 : x
  2. Step 2: Convert to fraction form
    218,296/326,104 = 326,104/x
  3. Step 3: Cross multiply
    218,296x = 326,104 × 326,104
  4. Step 4: Simplify right side
    218,296x = 106,343,818,816
  5. Step 5: Solve for x
    x = 106,343,818,816/218,296
  6. Step 6: Final answer
    x = 487,154.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.