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Finding the Third Proportional to 199,188 and 428,584

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Solution

The third proportional to 199,188 and 428,584 is: 922,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,188 : 428,584 = 428,584 : x
  2. Step 2: Convert to fraction form
    199,188/428,584 = 428,584/x
  3. Step 3: Cross multiply
    199,188x = 428,584 × 428,584
  4. Step 4: Simplify right side
    199,188x = 183,684,245,056
  5. Step 5: Solve for x
    x = 183,684,245,056/199,188
  6. Step 6: Final answer
    x = 922,165.22

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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.