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Finding the Third Proportional to 37,439.30 and 81,438.19

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Solution

The third proportional to 37,439.30 and 81,438.19 is: 177,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,439.30 : 81,438.19 = 81,438.19 : x
  2. Step 2: Convert to fraction form
    37,439.30/81,438.19 = 81,438.19/x
  3. Step 3: Cross multiply
    37,439.30x = 81,438.19 × 81,438.19
  4. Step 4: Simplify right side
    37,439.30x = 6,632,178,383.29
  5. Step 5: Solve for x
    x = 6,632,178,383.29/37,439.30
  6. Step 6: Final answer
    x = 177,144.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.