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Finding the Third Proportional to 21,425 and 45,847

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Solution

The third proportional to 21,425 and 45,847 is: 98,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,425 : 45,847 = 45,847 : x
  2. Step 2: Convert to fraction form
    21,425/45,847 = 45,847/x
  3. Step 3: Cross multiply
    21,425x = 45,847 × 45,847
  4. Step 4: Simplify right side
    21,425x = 2,101,947,409
  5. Step 5: Solve for x
    x = 2,101,947,409/21,425
  6. Step 6: Final answer
    x = 98,107.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.