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Finding the Third Proportional to 135,376 and 198,443

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Solution

The third proportional to 135,376 and 198,443 is: 290,890.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,376 : 198,443 = 198,443 : x
  2. Step 2: Convert to fraction form
    135,376/198,443 = 198,443/x
  3. Step 3: Cross multiply
    135,376x = 198,443 × 198,443
  4. Step 4: Simplify right side
    135,376x = 39,379,624,249
  5. Step 5: Solve for x
    x = 39,379,624,249/135,376
  6. Step 6: Final answer
    x = 290,890.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.