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Finding the Third Proportional to 30,309.75 and 70,794

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Solution

The third proportional to 30,309.75 and 70,794 is: 165,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309.75 : 70,794 = 70,794 : x
  2. Step 2: Convert to fraction form
    30,309.75/70,794 = 70,794/x
  3. Step 3: Cross multiply
    30,309.75x = 70,794 × 70,794
  4. Step 4: Simplify right side
    30,309.75x = 5,011,790,436
  5. Step 5: Solve for x
    x = 5,011,790,436/30,309.75
  6. Step 6: Final answer
    x = 165,352.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.