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Finding the Third Proportional to 20,310 and 41,178

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Solution

The third proportional to 20,310 and 41,178 is: 83,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,310 : 41,178 = 41,178 : x
  2. Step 2: Convert to fraction form
    20,310/41,178 = 41,178/x
  3. Step 3: Cross multiply
    20,310x = 41,178 × 41,178
  4. Step 4: Simplify right side
    20,310x = 1,695,627,684
  5. Step 5: Solve for x
    x = 1,695,627,684/20,310
  6. Step 6: Final answer
    x = 83,487.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.