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Finding the Third Proportional to 149,056 and 221,558

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Solution

The third proportional to 149,056 and 221,558 is: 329,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,056 : 221,558 = 221,558 : x
  2. Step 2: Convert to fraction form
    149,056/221,558 = 221,558/x
  3. Step 3: Cross multiply
    149,056x = 221,558 × 221,558
  4. Step 4: Simplify right side
    149,056x = 49,087,947,364
  5. Step 5: Solve for x
    x = 49,087,947,364/149,056
  6. Step 6: Final answer
    x = 329,325.54

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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.