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Finding the Third Proportional to 30,914 and 66,868

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Solution

The third proportional to 30,914 and 66,868 is: 144,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914 : 66,868 = 66,868 : x
  2. Step 2: Convert to fraction form
    30,914/66,868 = 66,868/x
  3. Step 3: Cross multiply
    30,914x = 66,868 × 66,868
  4. Step 4: Simplify right side
    30,914x = 4,471,329,424
  5. Step 5: Solve for x
    x = 4,471,329,424/30,914
  6. Step 6: Final answer
    x = 144,637.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.