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Finding the Third Proportional to 81,289 and 108,729

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Solution

The third proportional to 81,289 and 108,729 is: 145,431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,289 : 108,729 = 108,729 : x
  2. Step 2: Convert to fraction form
    81,289/108,729 = 108,729/x
  3. Step 3: Cross multiply
    81,289x = 108,729 × 108,729
  4. Step 4: Simplify right side
    81,289x = 11,821,995,441
  5. Step 5: Solve for x
    x = 11,821,995,441/81,289
  6. Step 6: Final answer
    x = 145,431.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.