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Finding the Third Proportional to 156,171 and 221,131.50

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Solution

The third proportional to 156,171 and 221,131.50 is: 313,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,171 : 221,131.50 = 221,131.50 : x
  2. Step 2: Convert to fraction form
    156,171/221,131.50 = 221,131.50/x
  3. Step 3: Cross multiply
    156,171x = 221,131.50 × 221,131.50
  4. Step 4: Simplify right side
    156,171x = 48,899,140,292.25
  5. Step 5: Solve for x
    x = 48,899,140,292.25/156,171
  6. Step 6: Final answer
    x = 313,112.81

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.