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Finding the Third Proportional to 299,340 and 452,120

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Solution

The third proportional to 299,340 and 452,120 is: 682,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,340 : 452,120 = 452,120 : x
  2. Step 2: Convert to fraction form
    299,340/452,120 = 452,120/x
  3. Step 3: Cross multiply
    299,340x = 452,120 × 452,120
  4. Step 4: Simplify right side
    299,340x = 204,412,494,400
  5. Step 5: Solve for x
    x = 204,412,494,400/299,340
  6. Step 6: Final answer
    x = 682,877.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.