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Finding the Third Proportional to 180,805.50 and 345,201.75

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Solution

The third proportional to 180,805.50 and 345,201.75 is: 659,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,805.50 : 345,201.75 = 345,201.75 : x
  2. Step 2: Convert to fraction form
    180,805.50/345,201.75 = 345,201.75/x
  3. Step 3: Cross multiply
    180,805.50x = 345,201.75 × 345,201.75
  4. Step 4: Simplify right side
    180,805.50x = 119,164,248,203.06
  5. Step 5: Solve for x
    x = 119,164,248,203.06/180,805.50
  6. Step 6: Final answer
    x = 659,074.24

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.