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Finding the Third Proportional to 133,200 and 278,640

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Solution

The third proportional to 133,200 and 278,640 is: 582,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,200 : 278,640 = 278,640 : x
  2. Step 2: Convert to fraction form
    133,200/278,640 = 278,640/x
  3. Step 3: Cross multiply
    133,200x = 278,640 × 278,640
  4. Step 4: Simplify right side
    133,200x = 77,640,249,600
  5. Step 5: Solve for x
    x = 77,640,249,600/133,200
  6. Step 6: Final answer
    x = 582,884.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.