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Finding the Third Proportional to 20,872 and 45,724

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Solution

The third proportional to 20,872 and 45,724 is: 100,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872 : 45,724 = 45,724 : x
  2. Step 2: Convert to fraction form
    20,872/45,724 = 45,724/x
  3. Step 3: Cross multiply
    20,872x = 45,724 × 45,724
  4. Step 4: Simplify right side
    20,872x = 2,090,684,176
  5. Step 5: Solve for x
    x = 2,090,684,176/20,872
  6. Step 6: Final answer
    x = 100,166.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.