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Finding the Third Proportional to 20,565 and 28,323

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Solution

The third proportional to 20,565 and 28,323 is: 39,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565 : 28,323 = 28,323 : x
  2. Step 2: Convert to fraction form
    20,565/28,323 = 28,323/x
  3. Step 3: Cross multiply
    20,565x = 28,323 × 28,323
  4. Step 4: Simplify right side
    20,565x = 802,192,329
  5. Step 5: Solve for x
    x = 802,192,329/20,565
  6. Step 6: Final answer
    x = 39,007.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.