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Finding the Third Proportional to 172,816 and 282,192

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Solution

The third proportional to 172,816 and 282,192 is: 460,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,816 : 282,192 = 282,192 : x
  2. Step 2: Convert to fraction form
    172,816/282,192 = 282,192/x
  3. Step 3: Cross multiply
    172,816x = 282,192 × 282,192
  4. Step 4: Simplify right side
    172,816x = 79,632,324,864
  5. Step 5: Solve for x
    x = 79,632,324,864/172,816
  6. Step 6: Final answer
    x = 460,792.55

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.