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Finding the Third Proportional to 276,302 and 412,747

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Solution

The third proportional to 276,302 and 412,747 is: 616,572.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,302 : 412,747 = 412,747 : x
  2. Step 2: Convert to fraction form
    276,302/412,747 = 412,747/x
  3. Step 3: Cross multiply
    276,302x = 412,747 × 412,747
  4. Step 4: Simplify right side
    276,302x = 170,360,086,009
  5. Step 5: Solve for x
    x = 170,360,086,009/276,302
  6. Step 6: Final answer
    x = 616,572.03

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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.