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Finding the Third Proportional to 27,699 and 66,779

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Solution

The third proportional to 27,699 and 66,779 is: 160,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,699 : 66,779 = 66,779 : x
  2. Step 2: Convert to fraction form
    27,699/66,779 = 66,779/x
  3. Step 3: Cross multiply
    27,699x = 66,779 × 66,779
  4. Step 4: Simplify right side
    27,699x = 4,459,434,841
  5. Step 5: Solve for x
    x = 4,459,434,841/27,699
  6. Step 6: Final answer
    x = 160,996.24

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.