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Finding the Third Proportional to 81,000 and 114,015

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Solution

The third proportional to 81,000 and 114,015 is: 160,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,000 : 114,015 = 114,015 : x
  2. Step 2: Convert to fraction form
    81,000/114,015 = 114,015/x
  3. Step 3: Cross multiply
    81,000x = 114,015 × 114,015
  4. Step 4: Simplify right side
    81,000x = 12,999,420,225
  5. Step 5: Solve for x
    x = 12,999,420,225/81,000
  6. Step 6: Final answer
    x = 160,486.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.