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Finding the Third Proportional to 91,284 and 122,100

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Solution

The third proportional to 91,284 and 122,100 is: 163,318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,284 : 122,100 = 122,100 : x
  2. Step 2: Convert to fraction form
    91,284/122,100 = 122,100/x
  3. Step 3: Cross multiply
    91,284x = 122,100 × 122,100
  4. Step 4: Simplify right side
    91,284x = 14,908,410,000
  5. Step 5: Solve for x
    x = 14,908,410,000/91,284
  6. Step 6: Final answer
    x = 163,318.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.