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Finding the Third Proportional to 280,028 and 444,954

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Solution

The third proportional to 280,028 and 444,954 is: 707,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,028 : 444,954 = 444,954 : x
  2. Step 2: Convert to fraction form
    280,028/444,954 = 444,954/x
  3. Step 3: Cross multiply
    280,028x = 444,954 × 444,954
  4. Step 4: Simplify right side
    280,028x = 197,984,062,116
  5. Step 5: Solve for x
    x = 197,984,062,116/280,028
  6. Step 6: Final answer
    x = 707,015.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.