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Finding the Third Proportional to 15,307 and 31,999

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Solution

The third proportional to 15,307 and 31,999 is: 66,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,307 : 31,999 = 31,999 : x
  2. Step 2: Convert to fraction form
    15,307/31,999 = 31,999/x
  3. Step 3: Cross multiply
    15,307x = 31,999 × 31,999
  4. Step 4: Simplify right side
    15,307x = 1,023,936,001
  5. Step 5: Solve for x
    x = 1,023,936,001/15,307
  6. Step 6: Final answer
    x = 66,893.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.