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Finding the Third Proportional to 28,885 and 38,636

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Solution

The third proportional to 28,885 and 38,636 is: 51,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,885 : 38,636 = 38,636 : x
  2. Step 2: Convert to fraction form
    28,885/38,636 = 38,636/x
  3. Step 3: Cross multiply
    28,885x = 38,636 × 38,636
  4. Step 4: Simplify right side
    28,885x = 1,492,740,496
  5. Step 5: Solve for x
    x = 1,492,740,496/28,885
  6. Step 6: Final answer
    x = 51,678.74

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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.