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Finding the Third Proportional to 180,308 and 280,290

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Solution

The third proportional to 180,308 and 280,290 is: 435,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,308 : 280,290 = 280,290 : x
  2. Step 2: Convert to fraction form
    180,308/280,290 = 280,290/x
  3. Step 3: Cross multiply
    180,308x = 280,290 × 280,290
  4. Step 4: Simplify right side
    180,308x = 78,562,484,100
  5. Step 5: Solve for x
    x = 78,562,484,100/180,308
  6. Step 6: Final answer
    x = 435,712.69

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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.