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Finding the Third Proportional to 20,945 and 32,580

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Solution

The third proportional to 20,945 and 32,580 is: 50,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,945 : 32,580 = 32,580 : x
  2. Step 2: Convert to fraction form
    20,945/32,580 = 32,580/x
  3. Step 3: Cross multiply
    20,945x = 32,580 × 32,580
  4. Step 4: Simplify right side
    20,945x = 1,061,456,400
  5. Step 5: Solve for x
    x = 1,061,456,400/20,945
  6. Step 6: Final answer
    x = 50,678.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.