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Finding the Third Proportional to 149,054 and 221,554

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Solution

The third proportional to 149,054 and 221,554 is: 329,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,054 : 221,554 = 221,554 : x
  2. Step 2: Convert to fraction form
    149,054/221,554 = 221,554/x
  3. Step 3: Cross multiply
    149,054x = 221,554 × 221,554
  4. Step 4: Simplify right side
    149,054x = 49,086,174,916
  5. Step 5: Solve for x
    x = 49,086,174,916/149,054
  6. Step 6: Final answer
    x = 329,318.07

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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.