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Finding the Third Proportional to 276,315 and 412,760

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Solution

The third proportional to 276,315 and 412,760 is: 616,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,315 : 412,760 = 412,760 : x
  2. Step 2: Convert to fraction form
    276,315/412,760 = 412,760/x
  3. Step 3: Cross multiply
    276,315x = 412,760 × 412,760
  4. Step 4: Simplify right side
    276,315x = 170,370,817,600
  5. Step 5: Solve for x
    x = 170,370,817,600/276,315
  6. Step 6: Final answer
    x = 616,581.86

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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.