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Finding the Third Proportional to 132,948 and 198,969.75

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Solution

The third proportional to 132,948 and 198,969.75 is: 297,777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,948 : 198,969.75 = 198,969.75 : x
  2. Step 2: Convert to fraction form
    132,948/198,969.75 = 198,969.75/x
  3. Step 3: Cross multiply
    132,948x = 198,969.75 × 198,969.75
  4. Step 4: Simplify right side
    132,948x = 39,588,961,415.06
  5. Step 5: Solve for x
    x = 39,588,961,415.06/132,948
  6. Step 6: Final answer
    x = 297,777.79

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