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Finding the Third Proportional to 67,980.75 and 149,554.50

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Solution

The third proportional to 67,980.75 and 149,554.50 is: 329,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,980.75 : 149,554.50 = 149,554.50 : x
  2. Step 2: Convert to fraction form
    67,980.75/149,554.50 = 149,554.50/x
  3. Step 3: Cross multiply
    67,980.75x = 149,554.50 × 149,554.50
  4. Step 4: Simplify right side
    67,980.75x = 22,366,548,470.25
  5. Step 5: Solve for x
    x = 22,366,548,470.25/67,980.75
  6. Step 6: Final answer
    x = 329,012.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.