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Finding the Third Proportional to 276,916 and 605,085

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Solution

The third proportional to 276,916 and 605,085 is: 1,322,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,916 : 605,085 = 605,085 : x
  2. Step 2: Convert to fraction form
    276,916/605,085 = 605,085/x
  3. Step 3: Cross multiply
    276,916x = 605,085 × 605,085
  4. Step 4: Simplify right side
    276,916x = 366,127,857,225
  5. Step 5: Solve for x
    x = 366,127,857,225/276,916
  6. Step 6: Final answer
    x = 1,322,162.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.