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Finding the Third Proportional to 20,878 and 45,778

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Solution

The third proportional to 20,878 and 45,778 is: 100,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878 : 45,778 = 45,778 : x
  2. Step 2: Convert to fraction form
    20,878/45,778 = 45,778/x
  3. Step 3: Cross multiply
    20,878x = 45,778 × 45,778
  4. Step 4: Simplify right side
    20,878x = 2,095,625,284
  5. Step 5: Solve for x
    x = 2,095,625,284/20,878
  6. Step 6: Final answer
    x = 100,374.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.