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Finding the Third Proportional to 26,940 and 42,779

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Solution

The third proportional to 26,940 and 42,779 is: 67,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,940 : 42,779 = 42,779 : x
  2. Step 2: Convert to fraction form
    26,940/42,779 = 42,779/x
  3. Step 3: Cross multiply
    26,940x = 42,779 × 42,779
  4. Step 4: Simplify right side
    26,940x = 1,830,042,841
  5. Step 5: Solve for x
    x = 1,830,042,841/26,940
  6. Step 6: Final answer
    x = 67,930.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.