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Finding the Third Proportional to 66,851 and 145,696

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Solution

The third proportional to 66,851 and 145,696 is: 317,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,851 : 145,696 = 145,696 : x
  2. Step 2: Convert to fraction form
    66,851/145,696 = 145,696/x
  3. Step 3: Cross multiply
    66,851x = 145,696 × 145,696
  4. Step 4: Simplify right side
    66,851x = 21,227,324,416
  5. Step 5: Solve for x
    x = 21,227,324,416/66,851
  6. Step 6: Final answer
    x = 317,531.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.