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Finding the Third Proportional to 30,158 and 39,891

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Solution

The third proportional to 30,158 and 39,891 is: 52,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,158 : 39,891 = 39,891 : x
  2. Step 2: Convert to fraction form
    30,158/39,891 = 39,891/x
  3. Step 3: Cross multiply
    30,158x = 39,891 × 39,891
  4. Step 4: Simplify right side
    30,158x = 1,591,291,881
  5. Step 5: Solve for x
    x = 1,591,291,881/30,158
  6. Step 6: Final answer
    x = 52,765.17

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.