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Finding the Third Proportional to 199,808 and 427,956

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Solution

The third proportional to 199,808 and 427,956 is: 916,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,808 : 427,956 = 427,956 : x
  2. Step 2: Convert to fraction form
    199,808/427,956 = 427,956/x
  3. Step 3: Cross multiply
    199,808x = 427,956 × 427,956
  4. Step 4: Simplify right side
    199,808x = 183,146,337,936
  5. Step 5: Solve for x
    x = 183,146,337,936/199,808
  6. Step 6: Final answer
    x = 916,611.64

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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.