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Finding the Third Proportional to 101,619.56 and 221,337.56

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Solution

The third proportional to 101,619.56 and 221,337.56 is: 482,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,619.56 : 221,337.56 = 221,337.56 : x
  2. Step 2: Convert to fraction form
    101,619.56/221,337.56 = 221,337.56/x
  3. Step 3: Cross multiply
    101,619.56x = 221,337.56 × 221,337.56
  4. Step 4: Simplify right side
    101,619.56x = 48,990,316,573.44
  5. Step 5: Solve for x
    x = 48,990,316,573.44/101,619.56
  6. Step 6: Final answer
    x = 482,095.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.