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Finding the Third Proportional to 21,568 and 47,129

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Solution

The third proportional to 21,568 and 47,129 is: 102,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568 : 47,129 = 47,129 : x
  2. Step 2: Convert to fraction form
    21,568/47,129 = 47,129/x
  3. Step 3: Cross multiply
    21,568x = 47,129 × 47,129
  4. Step 4: Simplify right side
    21,568x = 2,221,142,641
  5. Step 5: Solve for x
    x = 2,221,142,641/21,568
  6. Step 6: Final answer
    x = 102,983.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.