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Finding the Third Proportional to 134,709.75 and 196,141.50

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Solution

The third proportional to 134,709.75 and 196,141.50 is: 285,588.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,709.75 : 196,141.50 = 196,141.50 : x
  2. Step 2: Convert to fraction form
    134,709.75/196,141.50 = 196,141.50/x
  3. Step 3: Cross multiply
    134,709.75x = 196,141.50 × 196,141.50
  4. Step 4: Simplify right side
    134,709.75x = 38,471,488,022.25
  5. Step 5: Solve for x
    x = 38,471,488,022.25/134,709.75
  6. Step 6: Final answer
    x = 285,588.00

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.