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Finding the Third Proportional to 311,283 and 468,180

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Solution

The third proportional to 311,283 and 468,180 is: 704,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,283 : 468,180 = 468,180 : x
  2. Step 2: Convert to fraction form
    311,283/468,180 = 468,180/x
  3. Step 3: Cross multiply
    311,283x = 468,180 × 468,180
  4. Step 4: Simplify right side
    311,283x = 219,192,512,400
  5. Step 5: Solve for x
    x = 219,192,512,400/311,283
  6. Step 6: Final answer
    x = 704,158.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.