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Finding the Third Proportional to 141,318 and 198,057

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Solution

The third proportional to 141,318 and 198,057 is: 277,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,318 : 198,057 = 198,057 : x
  2. Step 2: Convert to fraction form
    141,318/198,057 = 198,057/x
  3. Step 3: Cross multiply
    141,318x = 198,057 × 198,057
  4. Step 4: Simplify right side
    141,318x = 39,226,575,249
  5. Step 5: Solve for x
    x = 39,226,575,249/141,318
  6. Step 6: Final answer
    x = 277,576.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.