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Finding the Third Proportional to 27,290 and 43,779

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Solution

The third proportional to 27,290 and 43,779 is: 70,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,290 : 43,779 = 43,779 : x
  2. Step 2: Convert to fraction form
    27,290/43,779 = 43,779/x
  3. Step 3: Cross multiply
    27,290x = 43,779 × 43,779
  4. Step 4: Simplify right side
    27,290x = 1,916,600,841
  5. Step 5: Solve for x
    x = 1,916,600,841/27,290
  6. Step 6: Final answer
    x = 70,230.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.