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Finding the Third Proportional to 180,540.38 and 279,399.75

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Solution

The third proportional to 180,540.38 and 279,399.75 is: 432,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,540.38 : 279,399.75 = 279,399.75 : x
  2. Step 2: Convert to fraction form
    180,540.38/279,399.75 = 279,399.75/x
  3. Step 3: Cross multiply
    180,540.38x = 279,399.75 × 279,399.75
  4. Step 4: Simplify right side
    180,540.38x = 78,064,220,300.06
  5. Step 5: Solve for x
    x = 78,064,220,300.06/180,540.38
  6. Step 6: Final answer
    x = 432,392.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.