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Finding the Third Proportional to 31,099 and 68,029

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Solution

The third proportional to 31,099 and 68,029 is: 148,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099 : 68,029 = 68,029 : x
  2. Step 2: Convert to fraction form
    31,099/68,029 = 68,029/x
  3. Step 3: Cross multiply
    31,099x = 68,029 × 68,029
  4. Step 4: Simplify right side
    31,099x = 4,627,944,841
  5. Step 5: Solve for x
    x = 4,627,944,841/31,099
  6. Step 6: Final answer
    x = 148,813.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.