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Finding the Third Proportional to 21,958 and 33,130

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Solution

The third proportional to 21,958 and 33,130 is: 49,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,958 : 33,130 = 33,130 : x
  2. Step 2: Convert to fraction form
    21,958/33,130 = 33,130/x
  3. Step 3: Cross multiply
    21,958x = 33,130 × 33,130
  4. Step 4: Simplify right side
    21,958x = 1,097,596,900
  5. Step 5: Solve for x
    x = 1,097,596,900/21,958
  6. Step 6: Final answer
    x = 49,986.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.