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Finding the Third Proportional to 198,814 and 427,290

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Solution

The third proportional to 198,814 and 427,290 is: 918,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,814 : 427,290 = 427,290 : x
  2. Step 2: Convert to fraction form
    198,814/427,290 = 427,290/x
  3. Step 3: Cross multiply
    198,814x = 427,290 × 427,290
  4. Step 4: Simplify right side
    198,814x = 182,576,744,100
  5. Step 5: Solve for x
    x = 182,576,744,100/198,814
  6. Step 6: Final answer
    x = 918,329.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.