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Finding the Third Proportional to 20,685 and 43,395

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Solution

The third proportional to 20,685 and 43,395 is: 91,038.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685 : 43,395 = 43,395 : x
  2. Step 2: Convert to fraction form
    20,685/43,395 = 43,395/x
  3. Step 3: Cross multiply
    20,685x = 43,395 × 43,395
  4. Step 4: Simplify right side
    20,685x = 1,883,126,025
  5. Step 5: Solve for x
    x = 1,883,126,025/20,685
  6. Step 6: Final answer
    x = 91,038.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.