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Finding the Third Proportional to 149,045 and 218,815

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Solution

The third proportional to 149,045 and 218,815 is: 321,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,045 : 218,815 = 218,815 : x
  2. Step 2: Convert to fraction form
    149,045/218,815 = 218,815/x
  3. Step 3: Cross multiply
    149,045x = 218,815 × 218,815
  4. Step 4: Simplify right side
    149,045x = 47,880,004,225
  5. Step 5: Solve for x
    x = 47,880,004,225/149,045
  6. Step 6: Final answer
    x = 321,245.29

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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.