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Finding the Third Proportional to 172,828 and 282,212

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Solution

The third proportional to 172,828 and 282,212 is: 460,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,828 : 282,212 = 282,212 : x
  2. Step 2: Convert to fraction form
    172,828/282,212 = 282,212/x
  3. Step 3: Cross multiply
    172,828x = 282,212 × 282,212
  4. Step 4: Simplify right side
    172,828x = 79,643,612,944
  5. Step 5: Solve for x
    x = 79,643,612,944/172,828
  6. Step 6: Final answer
    x = 460,825.87

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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.