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Finding the Third Proportional to 299,298 and 440,194.50

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Solution

The third proportional to 299,298 and 440,194.50 is: 647,418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,298 : 440,194.50 = 440,194.50 : x
  2. Step 2: Convert to fraction form
    299,298/440,194.50 = 440,194.50/x
  3. Step 3: Cross multiply
    299,298x = 440,194.50 × 440,194.50
  4. Step 4: Simplify right side
    299,298x = 193,771,197,830.25
  5. Step 5: Solve for x
    x = 193,771,197,830.25/299,298
  6. Step 6: Final answer
    x = 647,418.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.