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Finding the Third Proportional to 101,848 and 223,860

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Solution

The third proportional to 101,848 and 223,860 is: 492,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,848 : 223,860 = 223,860 : x
  2. Step 2: Convert to fraction form
    101,848/223,860 = 223,860/x
  3. Step 3: Cross multiply
    101,848x = 223,860 × 223,860
  4. Step 4: Simplify right side
    101,848x = 50,113,299,600
  5. Step 5: Solve for x
    x = 50,113,299,600/101,848
  6. Step 6: Final answer
    x = 492,040.10

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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.