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Finding the Third Proportional to 199,701 and 431,390

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Solution

The third proportional to 199,701 and 431,390 is: 931,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,701 : 431,390 = 431,390 : x
  2. Step 2: Convert to fraction form
    199,701/431,390 = 431,390/x
  3. Step 3: Cross multiply
    199,701x = 431,390 × 431,390
  4. Step 4: Simplify right side
    199,701x = 186,097,332,100
  5. Step 5: Solve for x
    x = 186,097,332,100/199,701
  6. Step 6: Final answer
    x = 931,879.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.