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Finding the Third Proportional to 21,633 and 28,926

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Solution

The third proportional to 21,633 and 28,926 is: 38,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633 : 28,926 = 28,926 : x
  2. Step 2: Convert to fraction form
    21,633/28,926 = 28,926/x
  3. Step 3: Cross multiply
    21,633x = 28,926 × 28,926
  4. Step 4: Simplify right side
    21,633x = 836,713,476
  5. Step 5: Solve for x
    x = 836,713,476/21,633
  6. Step 6: Final answer
    x = 38,677.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.