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Finding the Third Proportional to 99,540 and 214,917

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Solution

The third proportional to 99,540 and 214,917 is: 464,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,540 : 214,917 = 214,917 : x
  2. Step 2: Convert to fraction form
    99,540/214,917 = 214,917/x
  3. Step 3: Cross multiply
    99,540x = 214,917 × 214,917
  4. Step 4: Simplify right side
    99,540x = 46,189,316,889
  5. Step 5: Solve for x
    x = 46,189,316,889/99,540
  6. Step 6: Final answer
    x = 464,027.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.