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Finding the Third Proportional to 15,999 and 34,909

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Solution

The third proportional to 15,999 and 34,909 is: 76,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999 : 34,909 = 34,909 : x
  2. Step 2: Convert to fraction form
    15,999/34,909 = 34,909/x
  3. Step 3: Cross multiply
    15,999x = 34,909 × 34,909
  4. Step 4: Simplify right side
    15,999x = 1,218,638,281
  5. Step 5: Solve for x
    x = 1,218,638,281/15,999
  6. Step 6: Final answer
    x = 76,169.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.