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Finding the Third Proportional to 21,130 and 30,183

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Solution

The third proportional to 21,130 and 30,183 is: 43,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,130 : 30,183 = 30,183 : x
  2. Step 2: Convert to fraction form
    21,130/30,183 = 30,183/x
  3. Step 3: Cross multiply
    21,130x = 30,183 × 30,183
  4. Step 4: Simplify right side
    21,130x = 911,013,489
  5. Step 5: Solve for x
    x = 911,013,489/21,130
  6. Step 6: Final answer
    x = 43,114.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.