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Finding the Third Proportional to 81,290 and 115,887

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Solution

The third proportional to 81,290 and 115,887 is: 165,208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,290 : 115,887 = 115,887 : x
  2. Step 2: Convert to fraction form
    81,290/115,887 = 115,887/x
  3. Step 3: Cross multiply
    81,290x = 115,887 × 115,887
  4. Step 4: Simplify right side
    81,290x = 13,429,796,769
  5. Step 5: Solve for x
    x = 13,429,796,769/81,290
  6. Step 6: Final answer
    x = 165,208.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.