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Finding the Third Proportional to 53,978 and 79,509

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Solution

The third proportional to 53,978 and 79,509 is: 117,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978 : 79,509 = 79,509 : x
  2. Step 2: Convert to fraction form
    53,978/79,509 = 79,509/x
  3. Step 3: Cross multiply
    53,978x = 79,509 × 79,509
  4. Step 4: Simplify right side
    53,978x = 6,321,681,081
  5. Step 5: Solve for x
    x = 6,321,681,081/53,978
  6. Step 6: Final answer
    x = 117,115.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.