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Finding the Third Proportional to 66,636 and 141,902

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Solution

The third proportional to 66,636 and 141,902 is: 302,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,636 : 141,902 = 141,902 : x
  2. Step 2: Convert to fraction form
    66,636/141,902 = 141,902/x
  3. Step 3: Cross multiply
    66,636x = 141,902 × 141,902
  4. Step 4: Simplify right side
    66,636x = 20,136,177,604
  5. Step 5: Solve for x
    x = 20,136,177,604/66,636
  6. Step 6: Final answer
    x = 302,181.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.