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Finding the Third Proportional to 199,827 and 428,145.75

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Solution

The third proportional to 199,827 and 428,145.75 is: 917,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,827 : 428,145.75 = 428,145.75 : x
  2. Step 2: Convert to fraction form
    199,827/428,145.75 = 428,145.75/x
  3. Step 3: Cross multiply
    199,827x = 428,145.75 × 428,145.75
  4. Step 4: Simplify right side
    199,827x = 183,308,783,243.06
  5. Step 5: Solve for x
    x = 183,308,783,243.06/199,827
  6. Step 6: Final answer
    x = 917,337.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.