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Finding the Third Proportional to 180,409.50 and 280,458

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Solution

The third proportional to 180,409.50 and 280,458 is: 435,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,409.50 : 280,458 = 280,458 : x
  2. Step 2: Convert to fraction form
    180,409.50/280,458 = 280,458/x
  3. Step 3: Cross multiply
    180,409.50x = 280,458 × 280,458
  4. Step 4: Simplify right side
    180,409.50x = 78,656,689,764
  5. Step 5: Solve for x
    x = 78,656,689,764/180,409.50
  6. Step 6: Final answer
    x = 435,989.73

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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.