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Finding the Third Proportional to 20,862 and 45,678

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Solution

The third proportional to 20,862 and 45,678 is: 100,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,862 : 45,678 = 45,678 : x
  2. Step 2: Convert to fraction form
    20,862/45,678 = 45,678/x
  3. Step 3: Cross multiply
    20,862x = 45,678 × 45,678
  4. Step 4: Simplify right side
    20,862x = 2,086,479,684
  5. Step 5: Solve for x
    x = 2,086,479,684/20,862
  6. Step 6: Final answer
    x = 100,013.41

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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.