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Finding the Third Proportional to 199,819 and 427,979

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Solution

The third proportional to 199,819 and 427,979 is: 916,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,819 : 427,979 = 427,979 : x
  2. Step 2: Convert to fraction form
    199,819/427,979 = 427,979/x
  3. Step 3: Cross multiply
    199,819x = 427,979 × 427,979
  4. Step 4: Simplify right side
    199,819x = 183,166,024,441
  5. Step 5: Solve for x
    x = 183,166,024,441/199,819
  6. Step 6: Final answer
    x = 916,659.70

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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.