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Finding the Third Proportional to 26,678 and 57,878

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Solution

The third proportional to 26,678 and 57,878 is: 125,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,678 : 57,878 = 57,878 : x
  2. Step 2: Convert to fraction form
    26,678/57,878 = 57,878/x
  3. Step 3: Cross multiply
    26,678x = 57,878 × 57,878
  4. Step 4: Simplify right side
    26,678x = 3,349,862,884
  5. Step 5: Solve for x
    x = 3,349,862,884/26,678
  6. Step 6: Final answer
    x = 125,566.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.