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Finding the Third Proportional to 149,066 and 218,846

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Solution

The third proportional to 149,066 and 218,846 is: 321,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,066 : 218,846 = 218,846 : x
  2. Step 2: Convert to fraction form
    149,066/218,846 = 218,846/x
  3. Step 3: Cross multiply
    149,066x = 218,846 × 218,846
  4. Step 4: Simplify right side
    149,066x = 47,893,571,716
  5. Step 5: Solve for x
    x = 47,893,571,716/149,066
  6. Step 6: Final answer
    x = 321,291.05

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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.