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Finding the Third Proportional to 66,638 and 141,906

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Solution

The third proportional to 66,638 and 141,906 is: 302,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,638 : 141,906 = 141,906 : x
  2. Step 2: Convert to fraction form
    66,638/141,906 = 141,906/x
  3. Step 3: Cross multiply
    66,638x = 141,906 × 141,906
  4. Step 4: Simplify right side
    66,638x = 20,137,312,836
  5. Step 5: Solve for x
    x = 20,137,312,836/66,638
  6. Step 6: Final answer
    x = 302,189.63

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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.