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Finding the Third Proportional to 172,864 and 259,472

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Solution

The third proportional to 172,864 and 259,472 is: 389,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,864 : 259,472 = 259,472 : x
  2. Step 2: Convert to fraction form
    172,864/259,472 = 259,472/x
  3. Step 3: Cross multiply
    172,864x = 259,472 × 259,472
  4. Step 4: Simplify right side
    172,864x = 67,325,718,784
  5. Step 5: Solve for x
    x = 67,325,718,784/172,864
  6. Step 6: Final answer
    x = 389,472.18

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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.