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Finding the Third Proportional to 66,486 and 110,805

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Solution

The third proportional to 66,486 and 110,805 is: 184,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,486 : 110,805 = 110,805 : x
  2. Step 2: Convert to fraction form
    66,486/110,805 = 110,805/x
  3. Step 3: Cross multiply
    66,486x = 110,805 × 110,805
  4. Step 4: Simplify right side
    66,486x = 12,277,748,025
  5. Step 5: Solve for x
    x = 12,277,748,025/66,486
  6. Step 6: Final answer
    x = 184,666.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.