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Finding the Third Proportional to 311,208.75 and 480,627

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Solution

The third proportional to 311,208.75 and 480,627 is: 742,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,208.75 : 480,627 = 480,627 : x
  2. Step 2: Convert to fraction form
    311,208.75/480,627 = 480,627/x
  3. Step 3: Cross multiply
    311,208.75x = 480,627 × 480,627
  4. Step 4: Simplify right side
    311,208.75x = 231,002,313,129
  5. Step 5: Solve for x
    x = 231,002,313,129/311,208.75
  6. Step 6: Final answer
    x = 742,274.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.