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Finding the Third Proportional to 30,642 and 67,296

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Solution

The third proportional to 30,642 and 67,296 is: 147,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642 : 67,296 = 67,296 : x
  2. Step 2: Convert to fraction form
    30,642/67,296 = 67,296/x
  3. Step 3: Cross multiply
    30,642x = 67,296 × 67,296
  4. Step 4: Simplify right side
    30,642x = 4,528,751,616
  5. Step 5: Solve for x
    x = 4,528,751,616/30,642
  6. Step 6: Final answer
    x = 147,795.56

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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.