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Finding the Third Proportional to 299,367 and 354,724.50

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Solution

The third proportional to 299,367 and 354,724.50 is: 420,318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,367 : 354,724.50 = 354,724.50 : x
  2. Step 2: Convert to fraction form
    299,367/354,724.50 = 354,724.50/x
  3. Step 3: Cross multiply
    299,367x = 354,724.50 × 354,724.50
  4. Step 4: Simplify right side
    299,367x = 125,829,470,900.25
  5. Step 5: Solve for x
    x = 125,829,470,900.25/299,367
  6. Step 6: Final answer
    x = 420,318.44

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.