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Finding the Third Proportional to 21,400 and 46,364

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Solution

The third proportional to 21,400 and 46,364 is: 100,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400 : 46,364 = 46,364 : x
  2. Step 2: Convert to fraction form
    21,400/46,364 = 46,364/x
  3. Step 3: Cross multiply
    21,400x = 46,364 × 46,364
  4. Step 4: Simplify right side
    21,400x = 2,149,620,496
  5. Step 5: Solve for x
    x = 2,149,620,496/21,400
  6. Step 6: Final answer
    x = 100,449.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.