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Finding the Third Proportional to 180,491 and 280,584

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Solution

The third proportional to 180,491 and 280,584 is: 436,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,491 : 280,584 = 280,584 : x
  2. Step 2: Convert to fraction form
    180,491/280,584 = 280,584/x
  3. Step 3: Cross multiply
    180,491x = 280,584 × 280,584
  4. Step 4: Simplify right side
    180,491x = 78,727,381,056
  5. Step 5: Solve for x
    x = 78,727,381,056/180,491
  6. Step 6: Final answer
    x = 436,184.52

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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.