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Finding the Third Proportional to 18,565 and 28,778

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Solution

The third proportional to 18,565 and 28,778 is: 44,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565 : 28,778 = 28,778 : x
  2. Step 2: Convert to fraction form
    18,565/28,778 = 28,778/x
  3. Step 3: Cross multiply
    18,565x = 28,778 × 28,778
  4. Step 4: Simplify right side
    18,565x = 828,173,284
  5. Step 5: Solve for x
    x = 828,173,284/18,565
  6. Step 6: Final answer
    x = 44,609.39

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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.