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Finding the Third Proportional to 199,851 and 428,191

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Solution

The third proportional to 199,851 and 428,191 is: 917,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,851 : 428,191 = 428,191 : x
  2. Step 2: Convert to fraction form
    199,851/428,191 = 428,191/x
  3. Step 3: Cross multiply
    199,851x = 428,191 × 428,191
  4. Step 4: Simplify right side
    199,851x = 183,347,532,481
  5. Step 5: Solve for x
    x = 183,347,532,481/199,851
  6. Step 6: Final answer
    x = 917,421.14

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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.