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Finding the Third Proportional to 20,078 and 43,402

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Solution

The third proportional to 20,078 and 43,402 is: 93,820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078 : 43,402 = 43,402 : x
  2. Step 2: Convert to fraction form
    20,078/43,402 = 43,402/x
  3. Step 3: Cross multiply
    20,078x = 43,402 × 43,402
  4. Step 4: Simplify right side
    20,078x = 1,883,733,604
  5. Step 5: Solve for x
    x = 1,883,733,604/20,078
  6. Step 6: Final answer
    x = 93,820.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.