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Finding the Third Proportional to 180,322 and 280,309

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Solution

The third proportional to 180,322 and 280,309 is: 435,737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,322 : 280,309 = 280,309 : x
  2. Step 2: Convert to fraction form
    180,322/280,309 = 280,309/x
  3. Step 3: Cross multiply
    180,322x = 280,309 × 280,309
  4. Step 4: Simplify right side
    180,322x = 78,573,135,481
  5. Step 5: Solve for x
    x = 78,573,135,481/180,322
  6. Step 6: Final answer
    x = 435,737.93

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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.