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Finding the Third Proportional to 218,149 and 320,041

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Solution

The third proportional to 218,149 and 320,041 is: 469,524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,149 : 320,041 = 320,041 : x
  2. Step 2: Convert to fraction form
    218,149/320,041 = 320,041/x
  3. Step 3: Cross multiply
    218,149x = 320,041 × 320,041
  4. Step 4: Simplify right side
    218,149x = 102,426,241,681
  5. Step 5: Solve for x
    x = 102,426,241,681/218,149
  6. Step 6: Final answer
    x = 469,524.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.