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Finding the Third Proportional to 172,916 and 259,376

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Solution

The third proportional to 172,916 and 259,376 is: 389,067.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,916 : 259,376 = 259,376 : x
  2. Step 2: Convert to fraction form
    172,916/259,376 = 259,376/x
  3. Step 3: Cross multiply
    172,916x = 259,376 × 259,376
  4. Step 4: Simplify right side
    172,916x = 67,275,909,376
  5. Step 5: Solve for x
    x = 67,275,909,376/172,916
  6. Step 6: Final answer
    x = 389,067.00

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