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Finding the Third Proportional to 276,292.50 and 412,731

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Solution

The third proportional to 276,292.50 and 412,731 is: 616,545.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,292.50 : 412,731 = 412,731 : x
  2. Step 2: Convert to fraction form
    276,292.50/412,731 = 412,731/x
  3. Step 3: Cross multiply
    276,292.50x = 412,731 × 412,731
  4. Step 4: Simplify right side
    276,292.50x = 170,346,878,361
  5. Step 5: Solve for x
    x = 170,346,878,361/276,292.50
  6. Step 6: Final answer
    x = 616,545.43

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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.