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Finding the Third Proportional to 421,378 and 925,188

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Solution

The third proportional to 421,378 and 925,188 is: 2,031,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,378 : 925,188 = 925,188 : x
  2. Step 2: Convert to fraction form
    421,378/925,188 = 925,188/x
  3. Step 3: Cross multiply
    421,378x = 925,188 × 925,188
  4. Step 4: Simplify right side
    421,378x = 855,972,835,344
  5. Step 5: Solve for x
    x = 855,972,835,344/421,378
  6. Step 6: Final answer
    x = 2,031,365.75

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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.