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Finding the Third Proportional to 183,977 and 269,909

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Solution

The third proportional to 183,977 and 269,909 is: 395,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,977 : 269,909 = 269,909 : x
  2. Step 2: Convert to fraction form
    183,977/269,909 = 269,909/x
  3. Step 3: Cross multiply
    183,977x = 269,909 × 269,909
  4. Step 4: Simplify right side
    183,977x = 72,850,868,281
  5. Step 5: Solve for x
    x = 72,850,868,281/183,977
  6. Step 6: Final answer
    x = 395,978.13

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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.