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Finding the Third Proportional to 72,199 and 108,299

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Solution

The third proportional to 72,199 and 108,299 is: 162,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,199 : 108,299 = 108,299 : x
  2. Step 2: Convert to fraction form
    72,199/108,299 = 108,299/x
  3. Step 3: Cross multiply
    72,199x = 108,299 × 108,299
  4. Step 4: Simplify right side
    72,199x = 11,728,673,401
  5. Step 5: Solve for x
    x = 11,728,673,401/72,199
  6. Step 6: Final answer
    x = 162,449.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.