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Finding the Third Proportional to 199,788 and 298,953

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Solution

The third proportional to 199,788 and 298,953 is: 447,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,788 : 298,953 = 298,953 : x
  2. Step 2: Convert to fraction form
    199,788/298,953 = 298,953/x
  3. Step 3: Cross multiply
    199,788x = 298,953 × 298,953
  4. Step 4: Simplify right side
    199,788x = 89,372,896,209
  5. Step 5: Solve for x
    x = 89,372,896,209/199,788
  6. Step 6: Final answer
    x = 447,338.66

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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.