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Finding the Third Proportional to 30,546 and 68,973

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Solution

The third proportional to 30,546 and 68,973 is: 155,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,546 : 68,973 = 68,973 : x
  2. Step 2: Convert to fraction form
    30,546/68,973 = 68,973/x
  3. Step 3: Cross multiply
    30,546x = 68,973 × 68,973
  4. Step 4: Simplify right side
    30,546x = 4,757,274,729
  5. Step 5: Solve for x
    x = 4,757,274,729/30,546
  6. Step 6: Final answer
    x = 155,741.33

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.