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Finding the Third Proportional to 276,300 and 412,744

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Solution

The third proportional to 276,300 and 412,744 is: 616,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,300 : 412,744 = 412,744 : x
  2. Step 2: Convert to fraction form
    276,300/412,744 = 412,744/x
  3. Step 3: Cross multiply
    276,300x = 412,744 × 412,744
  4. Step 4: Simplify right side
    276,300x = 170,357,609,536
  5. Step 5: Solve for x
    x = 170,357,609,536/276,300
  6. Step 6: Final answer
    x = 616,567.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.