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Finding the Third Proportional to 193,860 and 284,390

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Solution

The third proportional to 193,860 and 284,390 is: 417,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,860 : 284,390 = 284,390 : x
  2. Step 2: Convert to fraction form
    193,860/284,390 = 284,390/x
  3. Step 3: Cross multiply
    193,860x = 284,390 × 284,390
  4. Step 4: Simplify right side
    193,860x = 80,877,672,100
  5. Step 5: Solve for x
    x = 80,877,672,100/193,860
  6. Step 6: Final answer
    x = 417,196.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.