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Finding the Third Proportional to 21,112 and 45,500

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Solution

The third proportional to 21,112 and 45,500 is: 98,060.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,112 : 45,500 = 45,500 : x
  2. Step 2: Convert to fraction form
    21,112/45,500 = 45,500/x
  3. Step 3: Cross multiply
    21,112x = 45,500 × 45,500
  4. Step 4: Simplify right side
    21,112x = 2,070,250,000
  5. Step 5: Solve for x
    x = 2,070,250,000/21,112
  6. Step 6: Final answer
    x = 98,060.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.