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Finding the Third Proportional to 30,985 and 68,044

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Solution

The third proportional to 30,985 and 68,044 is: 149,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985 : 68,044 = 68,044 : x
  2. Step 2: Convert to fraction form
    30,985/68,044 = 68,044/x
  3. Step 3: Cross multiply
    30,985x = 68,044 × 68,044
  4. Step 4: Simplify right side
    30,985x = 4,629,985,936
  5. Step 5: Solve for x
    x = 4,629,985,936/30,985
  6. Step 6: Final answer
    x = 149,426.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.