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Finding the Third Proportional to 20,672 and 45,031

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Solution

The third proportional to 20,672 and 45,031 is: 98,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,672 : 45,031 = 45,031 : x
  2. Step 2: Convert to fraction form
    20,672/45,031 = 45,031/x
  3. Step 3: Cross multiply
    20,672x = 45,031 × 45,031
  4. Step 4: Simplify right side
    20,672x = 2,027,790,961
  5. Step 5: Solve for x
    x = 2,027,790,961/20,672
  6. Step 6: Final answer
    x = 98,093.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.