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Finding the Third Proportional to 421,380 and 925,192

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Solution

The third proportional to 421,380 and 925,192 is: 2,031,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,380 : 925,192 = 925,192 : x
  2. Step 2: Convert to fraction form
    421,380/925,192 = 925,192/x
  3. Step 3: Cross multiply
    421,380x = 925,192 × 925,192
  4. Step 4: Simplify right side
    421,380x = 855,980,236,864
  5. Step 5: Solve for x
    x = 855,980,236,864/421,380
  6. Step 6: Final answer
    x = 2,031,373.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.