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Finding the Third Proportional to 20,872 and 45,032

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Solution

The third proportional to 20,872 and 45,032 is: 97,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872 : 45,032 = 45,032 : x
  2. Step 2: Convert to fraction form
    20,872/45,032 = 45,032/x
  3. Step 3: Cross multiply
    20,872x = 45,032 × 45,032
  4. Step 4: Simplify right side
    20,872x = 2,027,881,024
  5. Step 5: Solve for x
    x = 2,027,881,024/20,872
  6. Step 6: Final answer
    x = 97,157.96

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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.