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Finding the Third Proportional to 81,036 and 121,224

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Solution

The third proportional to 81,036 and 121,224 is: 181,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,036 : 121,224 = 121,224 : x
  2. Step 2: Convert to fraction form
    81,036/121,224 = 121,224/x
  3. Step 3: Cross multiply
    81,036x = 121,224 × 121,224
  4. Step 4: Simplify right side
    81,036x = 14,695,258,176
  5. Step 5: Solve for x
    x = 14,695,258,176/81,036
  6. Step 6: Final answer
    x = 181,342.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.