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Finding the Third Proportional to 101,769 and 223,840.50

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Solution

The third proportional to 101,769 and 223,840.50 is: 492,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,769 : 223,840.50 = 223,840.50 : x
  2. Step 2: Convert to fraction form
    101,769/223,840.50 = 223,840.50/x
  3. Step 3: Cross multiply
    101,769x = 223,840.50 × 223,840.50
  4. Step 4: Simplify right side
    101,769x = 50,104,569,440.25
  5. Step 5: Solve for x
    x = 50,104,569,440.25/101,769
  6. Step 6: Final answer
    x = 492,336.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.