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Finding the Third Proportional to 81,610 and 115,529

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Solution

The third proportional to 81,610 and 115,529 is: 163,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,610 : 115,529 = 115,529 : x
  2. Step 2: Convert to fraction form
    81,610/115,529 = 115,529/x
  3. Step 3: Cross multiply
    81,610x = 115,529 × 115,529
  4. Step 4: Simplify right side
    81,610x = 13,346,949,841
  5. Step 5: Solve for x
    x = 13,346,949,841/81,610
  6. Step 6: Final answer
    x = 163,545.52

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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.