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Finding the Third Proportional to 81,390.75 and 120,904.50

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Solution

The third proportional to 81,390.75 and 120,904.50 is: 179,601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,390.75 : 120,904.50 = 120,904.50 : x
  2. Step 2: Convert to fraction form
    81,390.75/120,904.50 = 120,904.50/x
  3. Step 3: Cross multiply
    81,390.75x = 120,904.50 × 120,904.50
  4. Step 4: Simplify right side
    81,390.75x = 14,617,898,120.25
  5. Step 5: Solve for x
    x = 14,617,898,120.25/81,390.75
  6. Step 6: Final answer
    x = 179,601.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.