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Finding the Third Proportional to 21,412 and 47,018

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Solution

The third proportional to 21,412 and 47,018 is: 103,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412 : 47,018 = 47,018 : x
  2. Step 2: Convert to fraction form
    21,412/47,018 = 47,018/x
  3. Step 3: Cross multiply
    21,412x = 47,018 × 47,018
  4. Step 4: Simplify right side
    21,412x = 2,210,692,324
  5. Step 5: Solve for x
    x = 2,210,692,324/21,412
  6. Step 6: Final answer
    x = 103,245.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.