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Finding the Third Proportional to 99,405 and 213,642

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Solution

The third proportional to 99,405 and 213,642 is: 459,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,405 : 213,642 = 213,642 : x
  2. Step 2: Convert to fraction form
    99,405/213,642 = 213,642/x
  3. Step 3: Cross multiply
    99,405x = 213,642 × 213,642
  4. Step 4: Simplify right side
    99,405x = 45,642,904,164
  5. Step 5: Solve for x
    x = 45,642,904,164/99,405
  6. Step 6: Final answer
    x = 459,161.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.