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Finding the Third Proportional to 180,164 and 280,220

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Solution

The third proportional to 180,164 and 280,220 is: 435,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,164 : 280,220 = 280,220 : x
  2. Step 2: Convert to fraction form
    180,164/280,220 = 280,220/x
  3. Step 3: Cross multiply
    180,164x = 280,220 × 280,220
  4. Step 4: Simplify right side
    180,164x = 78,523,248,400
  5. Step 5: Solve for x
    x = 78,523,248,400/180,164
  6. Step 6: Final answer
    x = 435,843.17

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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.