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Finding the Third Proportional to 299,322 and 354,678.75

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Solution

The third proportional to 299,322 and 354,678.75 is: 420,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,322 : 354,678.75 = 354,678.75 : x
  2. Step 2: Convert to fraction form
    299,322/354,678.75 = 354,678.75/x
  3. Step 3: Cross multiply
    299,322x = 354,678.75 × 354,678.75
  4. Step 4: Simplify right side
    299,322x = 125,797,015,701.56
  5. Step 5: Solve for x
    x = 125,797,015,701.56/299,322
  6. Step 6: Final answer
    x = 420,273.20

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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.