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Finding the Third Proportional to 21,425 and 43,894

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Solution

The third proportional to 21,425 and 43,894 is: 89,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,425 : 43,894 = 43,894 : x
  2. Step 2: Convert to fraction form
    21,425/43,894 = 43,894/x
  3. Step 3: Cross multiply
    21,425x = 43,894 × 43,894
  4. Step 4: Simplify right side
    21,425x = 1,926,683,236
  5. Step 5: Solve for x
    x = 1,926,683,236/21,425
  6. Step 6: Final answer
    x = 89,926.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.