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Finding the Third Proportional to 21,100 and 45,400

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Solution

The third proportional to 21,100 and 45,400 is: 97,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,100 : 45,400 = 45,400 : x
  2. Step 2: Convert to fraction form
    21,100/45,400 = 45,400/x
  3. Step 3: Cross multiply
    21,100x = 45,400 × 45,400
  4. Step 4: Simplify right side
    21,100x = 2,061,160,000
  5. Step 5: Solve for x
    x = 2,061,160,000/21,100
  6. Step 6: Final answer
    x = 97,685.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.