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Finding the Third Proportional to 18,675 and 28,918

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Solution

The third proportional to 18,675 and 28,918 is: 44,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,675 : 28,918 = 28,918 : x
  2. Step 2: Convert to fraction form
    18,675/28,918 = 28,918/x
  3. Step 3: Cross multiply
    18,675x = 28,918 × 28,918
  4. Step 4: Simplify right side
    18,675x = 836,250,724
  5. Step 5: Solve for x
    x = 836,250,724/18,675
  6. Step 6: Final answer
    x = 44,779.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.