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Finding the Third Proportional to 133,044 and 198,989

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Solution

The third proportional to 133,044 and 198,989 is: 297,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,044 : 198,989 = 198,989 : x
  2. Step 2: Convert to fraction form
    133,044/198,989 = 198,989/x
  3. Step 3: Cross multiply
    133,044x = 198,989 × 198,989
  4. Step 4: Simplify right side
    133,044x = 39,596,622,121
  5. Step 5: Solve for x
    x = 39,596,622,121/133,044
  6. Step 6: Final answer
    x = 297,620.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.