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Finding the Third Proportional to 21,978 and 35,033

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Solution

The third proportional to 21,978 and 35,033 is: 55,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978 : 35,033 = 35,033 : x
  2. Step 2: Convert to fraction form
    21,978/35,033 = 35,033/x
  3. Step 3: Cross multiply
    21,978x = 35,033 × 35,033
  4. Step 4: Simplify right side
    21,978x = 1,227,311,089
  5. Step 5: Solve for x
    x = 1,227,311,089/21,978
  6. Step 6: Final answer
    x = 55,842.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.