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Finding the Third Proportional to 20,008 and 28,820

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Solution

The third proportional to 20,008 and 28,820 is: 41,513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,008 : 28,820 = 28,820 : x
  2. Step 2: Convert to fraction form
    20,008/28,820 = 28,820/x
  3. Step 3: Cross multiply
    20,008x = 28,820 × 28,820
  4. Step 4: Simplify right side
    20,008x = 830,592,400
  5. Step 5: Solve for x
    x = 830,592,400/20,008
  6. Step 6: Final answer
    x = 41,513.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.