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Finding the Third Proportional to 121,084 and 166,215

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Solution

The third proportional to 121,084 and 166,215 is: 228,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,084 : 166,215 = 166,215 : x
  2. Step 2: Convert to fraction form
    121,084/166,215 = 166,215/x
  3. Step 3: Cross multiply
    121,084x = 166,215 × 166,215
  4. Step 4: Simplify right side
    121,084x = 27,627,426,225
  5. Step 5: Solve for x
    x = 27,627,426,225/121,084
  6. Step 6: Final answer
    x = 228,167.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.