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Finding the Third Proportional to 30,926 and 68,935

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Solution

The third proportional to 30,926 and 68,935 is: 153,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,926 : 68,935 = 68,935 : x
  2. Step 2: Convert to fraction form
    30,926/68,935 = 68,935/x
  3. Step 3: Cross multiply
    30,926x = 68,935 × 68,935
  4. Step 4: Simplify right side
    30,926x = 4,752,034,225
  5. Step 5: Solve for x
    x = 4,752,034,225/30,926
  6. Step 6: Final answer
    x = 153,658.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.