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Finding the Third Proportional to 180,319.50 and 280,685.25

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Solution

The third proportional to 180,319.50 and 280,685.25 is: 436,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,319.50 : 280,685.25 = 280,685.25 : x
  2. Step 2: Convert to fraction form
    180,319.50/280,685.25 = 280,685.25/x
  3. Step 3: Cross multiply
    180,319.50x = 280,685.25 × 280,685.25
  4. Step 4: Simplify right side
    180,319.50x = 78,784,209,567.56
  5. Step 5: Solve for x
    x = 78,784,209,567.56/180,319.50
  6. Step 6: Final answer
    x = 436,914.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.