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Finding the Third Proportional to 161,886 and 331,788

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Solution

The third proportional to 161,886 and 331,788 is: 680,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,886 : 331,788 = 331,788 : x
  2. Step 2: Convert to fraction form
    161,886/331,788 = 331,788/x
  3. Step 3: Cross multiply
    161,886x = 331,788 × 331,788
  4. Step 4: Simplify right side
    161,886x = 110,083,276,944
  5. Step 5: Solve for x
    x = 110,083,276,944/161,886
  6. Step 6: Final answer
    x = 680,004.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.