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Finding the Third Proportional to 30,797 and 66,517

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Solution

The third proportional to 30,797 and 66,517 is: 143,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797 : 66,517 = 66,517 : x
  2. Step 2: Convert to fraction form
    30,797/66,517 = 66,517/x
  3. Step 3: Cross multiply
    30,797x = 66,517 × 66,517
  4. Step 4: Simplify right side
    30,797x = 4,424,511,289
  5. Step 5: Solve for x
    x = 4,424,511,289/30,797
  6. Step 6: Final answer
    x = 143,666.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.