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Finding the Third Proportional to 20,008 and 28,531

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Solution

The third proportional to 20,008 and 28,531 is: 40,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,008 : 28,531 = 28,531 : x
  2. Step 2: Convert to fraction form
    20,008/28,531 = 28,531/x
  3. Step 3: Cross multiply
    20,008x = 28,531 × 28,531
  4. Step 4: Simplify right side
    20,008x = 814,017,961
  5. Step 5: Solve for x
    x = 814,017,961/20,008
  6. Step 6: Final answer
    x = 40,684.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.