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Finding the Third Proportional to 20,000 and 30,405

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Solution

The third proportional to 20,000 and 30,405 is: 46,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000 : 30,405 = 30,405 : x
  2. Step 2: Convert to fraction form
    20,000/30,405 = 30,405/x
  3. Step 3: Cross multiply
    20,000x = 30,405 × 30,405
  4. Step 4: Simplify right side
    20,000x = 924,464,025
  5. Step 5: Solve for x
    x = 924,464,025/20,000
  6. Step 6: Final answer
    x = 46,223.20

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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.