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Finding the Third Proportional to 20,120 and 30,664

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Solution

The third proportional to 20,120 and 30,664 is: 46,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120 : 30,664 = 30,664 : x
  2. Step 2: Convert to fraction form
    20,120/30,664 = 30,664/x
  3. Step 3: Cross multiply
    20,120x = 30,664 × 30,664
  4. Step 4: Simplify right side
    20,120x = 940,280,896
  5. Step 5: Solve for x
    x = 940,280,896/20,120
  6. Step 6: Final answer
    x = 46,733.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.