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Finding the Third Proportional to 198,057 and 427,678

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Solution

The third proportional to 198,057 and 427,678 is: 923,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,057 : 427,678 = 427,678 : x
  2. Step 2: Convert to fraction form
    198,057/427,678 = 427,678/x
  3. Step 3: Cross multiply
    198,057x = 427,678 × 427,678
  4. Step 4: Simplify right side
    198,057x = 182,908,471,684
  5. Step 5: Solve for x
    x = 182,908,471,684/198,057
  6. Step 6: Final answer
    x = 923,514.30

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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.