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Finding the Third Proportional to 199,756 and 427,942

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Solution

The third proportional to 199,756 and 427,942 is: 916,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,756 : 427,942 = 427,942 : x
  2. Step 2: Convert to fraction form
    199,756/427,942 = 427,942/x
  3. Step 3: Cross multiply
    199,756x = 427,942 × 427,942
  4. Step 4: Simplify right side
    199,756x = 183,134,355,364
  5. Step 5: Solve for x
    x = 183,134,355,364/199,756
  6. Step 6: Final answer
    x = 916,790.26

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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.