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Finding the Third Proportional to 199,760 and 427,950

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Solution

The third proportional to 199,760 and 427,950 is: 916,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,760 : 427,950 = 427,950 : x
  2. Step 2: Convert to fraction form
    199,760/427,950 = 427,950/x
  3. Step 3: Cross multiply
    199,760x = 427,950 × 427,950
  4. Step 4: Simplify right side
    199,760x = 183,141,202,500
  5. Step 5: Solve for x
    x = 183,141,202,500/199,760
  6. Step 6: Final answer
    x = 916,806.18

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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.