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Finding the Third Proportional to 134,916 and 198,000

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Solution

The third proportional to 134,916 and 198,000 is: 290,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,916 : 198,000 = 198,000 : x
  2. Step 2: Convert to fraction form
    134,916/198,000 = 198,000/x
  3. Step 3: Cross multiply
    134,916x = 198,000 × 198,000
  4. Step 4: Simplify right side
    134,916x = 39,204,000,000
  5. Step 5: Solve for x
    x = 39,204,000,000/134,916
  6. Step 6: Final answer
    x = 290,580.81

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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.