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Finding the Third Proportional to 172,845.75 and 259,273.13

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Solution

The third proportional to 172,845.75 and 259,273.13 is: 388,916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,845.75 : 259,273.13 = 259,273.13 : x
  2. Step 2: Convert to fraction form
    172,845.75/259,273.13 = 259,273.13/x
  3. Step 3: Cross multiply
    172,845.75x = 259,273.13 × 259,273.13
  4. Step 4: Simplify right side
    172,845.75x = 67,222,553,347.27
  5. Step 5: Solve for x
    x = 67,222,553,347.27/172,845.75
  6. Step 6: Final answer
    x = 388,916.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.