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Finding the Third Proportional to 139,968 and 177,228

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Solution

The third proportional to 139,968 and 177,228 is: 224,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968 : 177,228 = 177,228 : x
  2. Step 2: Convert to fraction form
    139,968/177,228 = 177,228/x
  3. Step 3: Cross multiply
    139,968x = 177,228 × 177,228
  4. Step 4: Simplify right side
    139,968x = 31,409,763,984
  5. Step 5: Solve for x
    x = 31,409,763,984/139,968
  6. Step 6: Final answer
    x = 224,406.75

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.