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Finding the Third Proportional to 32,678 and 50,485

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Solution

The third proportional to 32,678 and 50,485 is: 77,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678 : 50,485 = 50,485 : x
  2. Step 2: Convert to fraction form
    32,678/50,485 = 50,485/x
  3. Step 3: Cross multiply
    32,678x = 50,485 × 50,485
  4. Step 4: Simplify right side
    32,678x = 2,548,735,225
  5. Step 5: Solve for x
    x = 2,548,735,225/32,678
  6. Step 6: Final answer
    x = 77,995.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.