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Finding the Third Proportional to 81,003 and 121,180.50

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Solution

The third proportional to 81,003 and 121,180.50 is: 181,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,003 : 121,180.50 = 121,180.50 : x
  2. Step 2: Convert to fraction form
    81,003/121,180.50 = 121,180.50/x
  3. Step 3: Cross multiply
    81,003x = 121,180.50 × 121,180.50
  4. Step 4: Simplify right side
    81,003x = 14,684,713,580.25
  5. Step 5: Solve for x
    x = 14,684,713,580.25/81,003
  6. Step 6: Final answer
    x = 181,286.05

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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.