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Finding the Third Proportional to 405,928 and 618,462

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Solution

The third proportional to 405,928 and 618,462 is: 942,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,928 : 618,462 = 618,462 : x
  2. Step 2: Convert to fraction form
    405,928/618,462 = 618,462/x
  3. Step 3: Cross multiply
    405,928x = 618,462 × 618,462
  4. Step 4: Simplify right side
    405,928x = 382,495,245,444
  5. Step 5: Solve for x
    x = 382,495,245,444/405,928
  6. Step 6: Final answer
    x = 942,273.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.