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Finding the Third Proportional to 15,799 and 35,099

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Solution

The third proportional to 15,799 and 35,099 is: 77,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,799 : 35,099 = 35,099 : x
  2. Step 2: Convert to fraction form
    15,799/35,099 = 35,099/x
  3. Step 3: Cross multiply
    15,799x = 35,099 × 35,099
  4. Step 4: Simplify right side
    15,799x = 1,231,939,801
  5. Step 5: Solve for x
    x = 1,231,939,801/15,799
  6. Step 6: Final answer
    x = 77,975.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.