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Finding the Third Proportional to 199,805 and 428,986

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Solution

The third proportional to 199,805 and 428,986 is: 921,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,805 : 428,986 = 428,986 : x
  2. Step 2: Convert to fraction form
    199,805/428,986 = 428,986/x
  3. Step 3: Cross multiply
    199,805x = 428,986 × 428,986
  4. Step 4: Simplify right side
    199,805x = 184,028,988,196
  5. Step 5: Solve for x
    x = 184,028,988,196/199,805
  6. Step 6: Final answer
    x = 921,042.96

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