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Finding the Third Proportional to 81,620 and 115,595

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Solution

The third proportional to 81,620 and 115,595 is: 163,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,620 : 115,595 = 115,595 : x
  2. Step 2: Convert to fraction form
    81,620/115,595 = 115,595/x
  3. Step 3: Cross multiply
    81,620x = 115,595 × 115,595
  4. Step 4: Simplify right side
    81,620x = 13,362,204,025
  5. Step 5: Solve for x
    x = 13,362,204,025/81,620
  6. Step 6: Final answer
    x = 163,712.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.