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Finding the Third Proportional to 197,478 and 421,200

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Solution

The third proportional to 197,478 and 421,200 is: 898,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,478 : 421,200 = 421,200 : x
  2. Step 2: Convert to fraction form
    197,478/421,200 = 421,200/x
  3. Step 3: Cross multiply
    197,478x = 421,200 × 421,200
  4. Step 4: Simplify right side
    197,478x = 177,409,440,000
  5. Step 5: Solve for x
    x = 177,409,440,000/197,478
  6. Step 6: Final answer
    x = 898,375.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.