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Finding the Third Proportional to 30,969 and 68,739

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Solution

The third proportional to 30,969 and 68,739 is: 152,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969 : 68,739 = 68,739 : x
  2. Step 2: Convert to fraction form
    30,969/68,739 = 68,739/x
  3. Step 3: Cross multiply
    30,969x = 68,739 × 68,739
  4. Step 4: Simplify right side
    30,969x = 4,725,050,121
  5. Step 5: Solve for x
    x = 4,725,050,121/30,969
  6. Step 6: Final answer
    x = 152,573.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.