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Finding the Third Proportional to 133,840 and 196,291.50

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Solution

The third proportional to 133,840 and 196,291.50 is: 287,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,840 : 196,291.50 = 196,291.50 : x
  2. Step 2: Convert to fraction form
    133,840/196,291.50 = 196,291.50/x
  3. Step 3: Cross multiply
    133,840x = 196,291.50 × 196,291.50
  4. Step 4: Simplify right side
    133,840x = 38,530,352,972.25
  5. Step 5: Solve for x
    x = 38,530,352,972.25/133,840
  6. Step 6: Final answer
    x = 287,883.69

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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.