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Finding the Third Proportional to 149,064 and 218,843

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Solution

The third proportional to 149,064 and 218,843 is: 321,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,064 : 218,843 = 218,843 : x
  2. Step 2: Convert to fraction form
    149,064/218,843 = 218,843/x
  3. Step 3: Cross multiply
    149,064x = 218,843 × 218,843
  4. Step 4: Simplify right side
    149,064x = 47,892,258,649
  5. Step 5: Solve for x
    x = 47,892,258,649/149,064
  6. Step 6: Final answer
    x = 321,286.55

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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.