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Finding the Third Proportional to 180,489 and 280,581

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Solution

The third proportional to 180,489 and 280,581 is: 436,180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,489 : 280,581 = 280,581 : x
  2. Step 2: Convert to fraction form
    180,489/280,581 = 280,581/x
  3. Step 3: Cross multiply
    180,489x = 280,581 × 280,581
  4. Step 4: Simplify right side
    180,489x = 78,725,697,561
  5. Step 5: Solve for x
    x = 78,725,697,561/180,489
  6. Step 6: Final answer
    x = 436,180.03

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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.