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Finding the Third Proportional to 180,330 and 280,326

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Solution

The third proportional to 180,330 and 280,326 is: 435,771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,330 : 280,326 = 280,326 : x
  2. Step 2: Convert to fraction form
    180,330/280,326 = 280,326/x
  3. Step 3: Cross multiply
    180,330x = 280,326 × 280,326
  4. Step 4: Simplify right side
    180,330x = 78,582,666,276
  5. Step 5: Solve for x
    x = 78,582,666,276/180,330
  6. Step 6: Final answer
    x = 435,771.45

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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.