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Finding the Third Proportional to 299,467 and 440,442

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Solution

The third proportional to 299,467 and 440,442 is: 647,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,467 : 440,442 = 440,442 : x
  2. Step 2: Convert to fraction form
    299,467/440,442 = 440,442/x
  3. Step 3: Cross multiply
    299,467x = 440,442 × 440,442
  4. Step 4: Simplify right side
    299,467x = 193,989,155,364
  5. Step 5: Solve for x
    x = 193,989,155,364/299,467
  6. Step 6: Final answer
    x = 647,781.41

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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.