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Finding the Third Proportional to 20,830 and 33,315

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Solution

The third proportional to 20,830 and 33,315 is: 53,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830 : 33,315 = 33,315 : x
  2. Step 2: Convert to fraction form
    20,830/33,315 = 33,315/x
  3. Step 3: Cross multiply
    20,830x = 33,315 × 33,315
  4. Step 4: Simplify right side
    20,830x = 1,109,889,225
  5. Step 5: Solve for x
    x = 1,109,889,225/20,830
  6. Step 6: Final answer
    x = 53,283.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.