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Finding the Third Proportional to 25,978 and 40,299

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Solution

The third proportional to 25,978 and 40,299 is: 62,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978 : 40,299 = 40,299 : x
  2. Step 2: Convert to fraction form
    25,978/40,299 = 40,299/x
  3. Step 3: Cross multiply
    25,978x = 40,299 × 40,299
  4. Step 4: Simplify right side
    25,978x = 1,624,009,401
  5. Step 5: Solve for x
    x = 1,624,009,401/25,978
  6. Step 6: Final answer
    x = 62,514.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.