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Finding the Third Proportional to 19,940 and 29,999

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Solution

The third proportional to 19,940 and 29,999 is: 45,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,940 : 29,999 = 29,999 : x
  2. Step 2: Convert to fraction form
    19,940/29,999 = 29,999/x
  3. Step 3: Cross multiply
    19,940x = 29,999 × 29,999
  4. Step 4: Simplify right side
    19,940x = 899,940,001
  5. Step 5: Solve for x
    x = 899,940,001/19,940
  6. Step 6: Final answer
    x = 45,132.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.