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Finding the Third Proportional to 199,314 and 298,421

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Solution

The third proportional to 199,314 and 298,421 is: 446,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,314 : 298,421 = 298,421 : x
  2. Step 2: Convert to fraction form
    199,314/298,421 = 298,421/x
  3. Step 3: Cross multiply
    199,314x = 298,421 × 298,421
  4. Step 4: Simplify right side
    199,314x = 89,055,093,241
  5. Step 5: Solve for x
    x = 89,055,093,241/199,314
  6. Step 6: Final answer
    x = 446,808.02

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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.