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Finding the Third Proportional to 20,023 and 30,385

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Solution

The third proportional to 20,023 and 30,385 is: 46,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023 : 30,385 = 30,385 : x
  2. Step 2: Convert to fraction form
    20,023/30,385 = 30,385/x
  3. Step 3: Cross multiply
    20,023x = 30,385 × 30,385
  4. Step 4: Simplify right side
    20,023x = 923,248,225
  5. Step 5: Solve for x
    x = 923,248,225/20,023
  6. Step 6: Final answer
    x = 46,109.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.