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Finding the Third Proportional to 103,450.50 and 221,659.88

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Solution

The third proportional to 103,450.50 and 221,659.88 is: 474,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,450.50 : 221,659.88 = 221,659.88 : x
  2. Step 2: Convert to fraction form
    103,450.50/221,659.88 = 221,659.88/x
  3. Step 3: Cross multiply
    103,450.50x = 221,659.88 × 221,659.88
  4. Step 4: Simplify right side
    103,450.50x = 49,133,100,185.02
  5. Step 5: Solve for x
    x = 49,133,100,185.02/103,450.50
  6. Step 6: Final answer
    x = 474,943.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.