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Finding the Third Proportional to 122,208.75 and 256,099.50

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Solution

The third proportional to 122,208.75 and 256,099.50 is: 536,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,208.75 : 256,099.50 = 256,099.50 : x
  2. Step 2: Convert to fraction form
    122,208.75/256,099.50 = 256,099.50/x
  3. Step 3: Cross multiply
    122,208.75x = 256,099.50 × 256,099.50
  4. Step 4: Simplify right side
    122,208.75x = 65,586,953,900.25
  5. Step 5: Solve for x
    x = 65,586,953,900.25/122,208.75
  6. Step 6: Final answer
    x = 536,679.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.