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Finding the Third Proportional to 180,343 and 281,435

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Solution

The third proportional to 180,343 and 281,435 is: 439,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,343 : 281,435 = 281,435 : x
  2. Step 2: Convert to fraction form
    180,343/281,435 = 281,435/x
  3. Step 3: Cross multiply
    180,343x = 281,435 × 281,435
  4. Step 4: Simplify right side
    180,343x = 79,205,659,225
  5. Step 5: Solve for x
    x = 79,205,659,225/180,343
  6. Step 6: Final answer
    x = 439,194.53

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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.