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Finding the Third Proportional to 100,305 and 217,890

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Solution

The third proportional to 100,305 and 217,890 is: 473,316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,305 : 217,890 = 217,890 : x
  2. Step 2: Convert to fraction form
    100,305/217,890 = 217,890/x
  3. Step 3: Cross multiply
    100,305x = 217,890 × 217,890
  4. Step 4: Simplify right side
    100,305x = 47,476,052,100
  5. Step 5: Solve for x
    x = 47,476,052,100/100,305
  6. Step 6: Final answer
    x = 473,316.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.