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Finding the Third Proportional to 100,708 and 213,380

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Solution

The third proportional to 100,708 and 213,380 is: 452,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,708 : 213,380 = 213,380 : x
  2. Step 2: Convert to fraction form
    100,708/213,380 = 213,380/x
  3. Step 3: Cross multiply
    100,708x = 213,380 × 213,380
  4. Step 4: Simplify right side
    100,708x = 45,531,024,400
  5. Step 5: Solve for x
    x = 45,531,024,400/100,708
  6. Step 6: Final answer
    x = 452,109.31

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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.