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Finding the Third Proportional to 97,109 and 211,872

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Solution

The third proportional to 97,109 and 211,872 is: 462,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,109 : 211,872 = 211,872 : x
  2. Step 2: Convert to fraction form
    97,109/211,872 = 211,872/x
  3. Step 3: Cross multiply
    97,109x = 211,872 × 211,872
  4. Step 4: Simplify right side
    97,109x = 44,889,744,384
  5. Step 5: Solve for x
    x = 44,889,744,384/97,109
  6. Step 6: Final answer
    x = 462,261.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.