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Finding the Third Proportional to 302,418 and 659,268

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Solution

The third proportional to 302,418 and 659,268 is: 1,437,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,418 : 659,268 = 659,268 : x
  2. Step 2: Convert to fraction form
    302,418/659,268 = 659,268/x
  3. Step 3: Cross multiply
    302,418x = 659,268 × 659,268
  4. Step 4: Simplify right side
    302,418x = 434,634,295,824
  5. Step 5: Solve for x
    x = 434,634,295,824/302,418
  6. Step 6: Final answer
    x = 1,437,197.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.