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Finding the Third Proportional to 20,572 and 30,800

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Solution

The third proportional to 20,572 and 30,800 is: 46,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572 : 30,800 = 30,800 : x
  2. Step 2: Convert to fraction form
    20,572/30,800 = 30,800/x
  3. Step 3: Cross multiply
    20,572x = 30,800 × 30,800
  4. Step 4: Simplify right side
    20,572x = 948,640,000
  5. Step 5: Solve for x
    x = 948,640,000/20,572
  6. Step 6: Final answer
    x = 46,113.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.