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Finding the Third Proportional to 81,219 and 121,828.50

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Solution

The third proportional to 81,219 and 121,828.50 is: 182,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,219 : 121,828.50 = 121,828.50 : x
  2. Step 2: Convert to fraction form
    81,219/121,828.50 = 121,828.50/x
  3. Step 3: Cross multiply
    81,219x = 121,828.50 × 121,828.50
  4. Step 4: Simplify right side
    81,219x = 14,842,183,412.25
  5. Step 5: Solve for x
    x = 14,842,183,412.25/81,219
  6. Step 6: Final answer
    x = 182,742.75

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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.