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Finding the Third Proportional to 99,708 and 210,672

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Solution

The third proportional to 99,708 and 210,672 is: 445,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,708 : 210,672 = 210,672 : x
  2. Step 2: Convert to fraction form
    99,708/210,672 = 210,672/x
  3. Step 3: Cross multiply
    99,708x = 210,672 × 210,672
  4. Step 4: Simplify right side
    99,708x = 44,382,691,584
  5. Step 5: Solve for x
    x = 44,382,691,584/99,708
  6. Step 6: Final answer
    x = 445,126.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.