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Finding the Third Proportional to 311,161 and 480,561

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Solution

The third proportional to 311,161 and 480,561 is: 742,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,161 : 480,561 = 480,561 : x
  2. Step 2: Convert to fraction form
    311,161/480,561 = 480,561/x
  3. Step 3: Cross multiply
    311,161x = 480,561 × 480,561
  4. Step 4: Simplify right side
    311,161x = 230,938,874,721
  5. Step 5: Solve for x
    x = 230,938,874,721/311,161
  6. Step 6: Final answer
    x = 742,184.51

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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.