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Finding the Third Proportional to 172,810 and 282,183

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Solution

The third proportional to 172,810 and 282,183 is: 460,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,810 : 282,183 = 282,183 : x
  2. Step 2: Convert to fraction form
    172,810/282,183 = 282,183/x
  3. Step 3: Cross multiply
    172,810x = 282,183 × 282,183
  4. Step 4: Simplify right side
    172,810x = 79,627,245,489
  5. Step 5: Solve for x
    x = 79,627,245,489/172,810
  6. Step 6: Final answer
    x = 460,779.15

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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.