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Finding the Third Proportional to 198,595 and 299,747

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Solution

The third proportional to 198,595 and 299,747 is: 452,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,595 : 299,747 = 299,747 : x
  2. Step 2: Convert to fraction form
    198,595/299,747 = 299,747/x
  3. Step 3: Cross multiply
    198,595x = 299,747 × 299,747
  4. Step 4: Simplify right side
    198,595x = 89,848,264,009
  5. Step 5: Solve for x
    x = 89,848,264,009/198,595
  6. Step 6: Final answer
    x = 452,419.57

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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.