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Finding the Third Proportional to 10,200 and 20,580

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Solution

The third proportional to 10,200 and 20,580 is: 41,523.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200 : 20,580 = 20,580 : x
  2. Step 2: Convert to fraction form
    10,200/20,580 = 20,580/x
  3. Step 3: Cross multiply
    10,200x = 20,580 × 20,580
  4. Step 4: Simplify right side
    10,200x = 423,536,400
  5. Step 5: Solve for x
    x = 423,536,400/10,200
  6. Step 6: Final answer
    x = 41,523.18

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.