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Finding the Third Proportional to 9,180.75 and 18,904.88

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Solution

The third proportional to 9,180.75 and 18,904.88 is: 38,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.75 : 18,904.88 = 18,904.88 : x
  2. Step 2: Convert to fraction form
    9,180.75/18,904.88 = 18,904.88/x
  3. Step 3: Cross multiply
    9,180.75x = 18,904.88 × 18,904.88
  4. Step 4: Simplify right side
    9,180.75x = 357,394,298.77
  5. Step 5: Solve for x
    x = 357,394,298.77/9,180.75
  6. Step 6: Final answer
    x = 38,928.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.