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Finding the Third Proportional to 198,807 and 427,278

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Solution

The third proportional to 198,807 and 427,278 is: 918,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,807 : 427,278 = 427,278 : x
  2. Step 2: Convert to fraction form
    198,807/427,278 = 427,278/x
  3. Step 3: Cross multiply
    198,807x = 427,278 × 427,278
  4. Step 4: Simplify right side
    198,807x = 182,566,489,284
  5. Step 5: Solve for x
    x = 182,566,489,284/198,807
  6. Step 6: Final answer
    x = 918,310.17

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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.