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Finding the Third Proportional to 299,444 and 450,381

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Solution

The third proportional to 299,444 and 450,381 is: 677,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,444 : 450,381 = 450,381 : x
  2. Step 2: Convert to fraction form
    299,444/450,381 = 450,381/x
  3. Step 3: Cross multiply
    299,444x = 450,381 × 450,381
  4. Step 4: Simplify right side
    299,444x = 202,843,045,161
  5. Step 5: Solve for x
    x = 202,843,045,161/299,444
  6. Step 6: Final answer
    x = 677,398.93

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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.