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Finding the Third Proportional to 25,978 and 40,290

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Solution

The third proportional to 25,978 and 40,290 is: 62,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978 : 40,290 = 40,290 : x
  2. Step 2: Convert to fraction form
    25,978/40,290 = 40,290/x
  3. Step 3: Cross multiply
    25,978x = 40,290 × 40,290
  4. Step 4: Simplify right side
    25,978x = 1,623,284,100
  5. Step 5: Solve for x
    x = 1,623,284,100/25,978
  6. Step 6: Final answer
    x = 62,486.88

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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.