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Finding the Third Proportional to 20,875 and 43,343

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Solution

The third proportional to 20,875 and 43,343 is: 89,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,875 : 43,343 = 43,343 : x
  2. Step 2: Convert to fraction form
    20,875/43,343 = 43,343/x
  3. Step 3: Cross multiply
    20,875x = 43,343 × 43,343
  4. Step 4: Simplify right side
    20,875x = 1,878,615,649
  5. Step 5: Solve for x
    x = 1,878,615,649/20,875
  6. Step 6: Final answer
    x = 89,993.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.