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Finding the Third Proportional to 299,300 and 440,197

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Solution

The third proportional to 299,300 and 440,197 is: 647,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,300 : 440,197 = 440,197 : x
  2. Step 2: Convert to fraction form
    299,300/440,197 = 440,197/x
  3. Step 3: Cross multiply
    299,300x = 440,197 × 440,197
  4. Step 4: Simplify right side
    299,300x = 193,773,398,809
  5. Step 5: Solve for x
    x = 193,773,398,809/299,300
  6. Step 6: Final answer
    x = 647,421.98

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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.