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Finding the Third Proportional to 149,050 and 218,822

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Solution

The third proportional to 149,050 and 218,822 is: 321,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,050 : 218,822 = 218,822 : x
  2. Step 2: Convert to fraction form
    149,050/218,822 = 218,822/x
  3. Step 3: Cross multiply
    149,050x = 218,822 × 218,822
  4. Step 4: Simplify right side
    149,050x = 47,883,067,684
  5. Step 5: Solve for x
    x = 47,883,067,684/149,050
  6. Step 6: Final answer
    x = 321,255.07

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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.