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Finding the Third Proportional to 982,412 and 1,477,268

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Solution

The third proportional to 982,412 and 1,477,268 is: 2,221,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,412 : 1,477,268 = 1,477,268 : x
  2. Step 2: Convert to fraction form
    982,412/1,477,268 = 1,477,268/x
  3. Step 3: Cross multiply
    982,412x = 1,477,268 × 1,477,268
  4. Step 4: Simplify right side
    982,412x = 2,182,320,743,824
  5. Step 5: Solve for x
    x = 2,182,320,743,824/982,412
  6. Step 6: Final answer
    x = 2,221,390.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.