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Finding the Third Proportional to 20,032 and 30,724

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Solution

The third proportional to 20,032 and 30,724 is: 47,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032 : 30,724 = 30,724 : x
  2. Step 2: Convert to fraction form
    20,032/30,724 = 30,724/x
  3. Step 3: Cross multiply
    20,032x = 30,724 × 30,724
  4. Step 4: Simplify right side
    20,032x = 943,964,176
  5. Step 5: Solve for x
    x = 943,964,176/20,032
  6. Step 6: Final answer
    x = 47,122.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.