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Finding the Third Proportional to 26,989 and 37,978

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Solution

The third proportional to 26,989 and 37,978 is: 53,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,989 : 37,978 = 37,978 : x
  2. Step 2: Convert to fraction form
    26,989/37,978 = 37,978/x
  3. Step 3: Cross multiply
    26,989x = 37,978 × 37,978
  4. Step 4: Simplify right side
    26,989x = 1,442,328,484
  5. Step 5: Solve for x
    x = 1,442,328,484/26,989
  6. Step 6: Final answer
    x = 53,441.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.