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Finding the Third Proportional to 120,668.63 and 180,769.50

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Solution

The third proportional to 120,668.63 and 180,769.50 is: 270,804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,668.63 : 180,769.50 = 180,769.50 : x
  2. Step 2: Convert to fraction form
    120,668.63/180,769.50 = 180,769.50/x
  3. Step 3: Cross multiply
    120,668.63x = 180,769.50 × 180,769.50
  4. Step 4: Simplify right side
    120,668.63x = 32,677,612,130.25
  5. Step 5: Solve for x
    x = 32,677,612,130.25/120,668.63
  6. Step 6: Final answer
    x = 270,804.55

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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.