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Finding the Third Proportional to 210,327 and 305,890

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Solution

The third proportional to 210,327 and 305,890 is: 444,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,327 : 305,890 = 305,890 : x
  2. Step 2: Convert to fraction form
    210,327/305,890 = 305,890/x
  3. Step 3: Cross multiply
    210,327x = 305,890 × 305,890
  4. Step 4: Simplify right side
    210,327x = 93,568,692,100
  5. Step 5: Solve for x
    x = 93,568,692,100/210,327
  6. Step 6: Final answer
    x = 444,872.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.