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Finding the Third Proportional to 421,378 and 928,649

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Solution

The third proportional to 421,378 and 928,649 is: 2,046,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,378 : 928,649 = 928,649 : x
  2. Step 2: Convert to fraction form
    421,378/928,649 = 928,649/x
  3. Step 3: Cross multiply
    421,378x = 928,649 × 928,649
  4. Step 4: Simplify right side
    421,378x = 862,388,965,201
  5. Step 5: Solve for x
    x = 862,388,965,201/421,378
  6. Step 6: Final answer
    x = 2,046,592.29

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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.