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Finding the Third Proportional to 199,201 and 428,610

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Solution

The third proportional to 199,201 and 428,610 is: 922,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,201 : 428,610 = 428,610 : x
  2. Step 2: Convert to fraction form
    199,201/428,610 = 428,610/x
  3. Step 3: Cross multiply
    199,201x = 428,610 × 428,610
  4. Step 4: Simplify right side
    199,201x = 183,706,532,100
  5. Step 5: Solve for x
    x = 183,706,532,100/199,201
  6. Step 6: Final answer
    x = 922,216.92

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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.