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Finding the Third Proportional to 101,985 and 223,236

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Solution

The third proportional to 101,985 and 223,236 is: 488,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,985 : 223,236 = 223,236 : x
  2. Step 2: Convert to fraction form
    101,985/223,236 = 223,236/x
  3. Step 3: Cross multiply
    101,985x = 223,236 × 223,236
  4. Step 4: Simplify right side
    101,985x = 49,834,311,696
  5. Step 5: Solve for x
    x = 49,834,311,696/101,985
  6. Step 6: Final answer
    x = 488,643.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.