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Finding the Third Proportional to 122,238 and 160,800.75

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Solution

The third proportional to 122,238 and 160,800.75 is: 211,528.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,238 : 160,800.75 = 160,800.75 : x
  2. Step 2: Convert to fraction form
    122,238/160,800.75 = 160,800.75/x
  3. Step 3: Cross multiply
    122,238x = 160,800.75 × 160,800.75
  4. Step 4: Simplify right side
    122,238x = 25,856,881,200.56
  5. Step 5: Solve for x
    x = 25,856,881,200.56/122,238
  6. Step 6: Final answer
    x = 211,528.99

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.