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Finding the Third Proportional to 101,039 and 220,069

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Solution

The third proportional to 101,039 and 220,069 is: 479,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,039 : 220,069 = 220,069 : x
  2. Step 2: Convert to fraction form
    101,039/220,069 = 220,069/x
  3. Step 3: Cross multiply
    101,039x = 220,069 × 220,069
  4. Step 4: Simplify right side
    101,039x = 48,430,364,761
  5. Step 5: Solve for x
    x = 48,430,364,761/101,039
  6. Step 6: Final answer
    x = 479,323.48

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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.