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Finding the Third Proportional to 101,969 and 220,347

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Solution

The third proportional to 101,969 and 220,347 is: 476,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,969 : 220,347 = 220,347 : x
  2. Step 2: Convert to fraction form
    101,969/220,347 = 220,347/x
  3. Step 3: Cross multiply
    101,969x = 220,347 × 220,347
  4. Step 4: Simplify right side
    101,969x = 48,552,800,409
  5. Step 5: Solve for x
    x = 48,552,800,409/101,969
  6. Step 6: Final answer
    x = 476,152.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.