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Finding the Third Proportional to 52,119 and 122,906.50

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Solution

The third proportional to 52,119 and 122,906.50 is: 289,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,119 : 122,906.50 = 122,906.50 : x
  2. Step 2: Convert to fraction form
    52,119/122,906.50 = 122,906.50/x
  3. Step 3: Cross multiply
    52,119x = 122,906.50 × 122,906.50
  4. Step 4: Simplify right side
    52,119x = 15,106,007,742.25
  5. Step 5: Solve for x
    x = 15,106,007,742.25/52,119
  6. Step 6: Final answer
    x = 289,836.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.