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Finding the Third Proportional to 20,402 and 43,255

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Solution

The third proportional to 20,402 and 43,255 is: 91,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402 : 43,255 = 43,255 : x
  2. Step 2: Convert to fraction form
    20,402/43,255 = 43,255/x
  3. Step 3: Cross multiply
    20,402x = 43,255 × 43,255
  4. Step 4: Simplify right side
    20,402x = 1,870,995,025
  5. Step 5: Solve for x
    x = 1,870,995,025/20,402
  6. Step 6: Final answer
    x = 91,706.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.