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Finding the Third Proportional to 276,696 and 405,864

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Solution

The third proportional to 276,696 and 405,864 is: 595,330.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,696 : 405,864 = 405,864 : x
  2. Step 2: Convert to fraction form
    276,696/405,864 = 405,864/x
  3. Step 3: Cross multiply
    276,696x = 405,864 × 405,864
  4. Step 4: Simplify right side
    276,696x = 164,725,586,496
  5. Step 5: Solve for x
    x = 164,725,586,496/276,696
  6. Step 6: Final answer
    x = 595,330.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.