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Finding the Third Proportional to 149,054 and 221,555

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Solution

The third proportional to 149,054 and 221,555 is: 329,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,054 : 221,555 = 221,555 : x
  2. Step 2: Convert to fraction form
    149,054/221,555 = 221,555/x
  3. Step 3: Cross multiply
    149,054x = 221,555 × 221,555
  4. Step 4: Simplify right side
    149,054x = 49,086,618,025
  5. Step 5: Solve for x
    x = 49,086,618,025/149,054
  6. Step 6: Final answer
    x = 329,321.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.