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Finding the Third Proportional to 276,979 and 612,085

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Solution

The third proportional to 276,979 and 612,085 is: 1,352,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,979 : 612,085 = 612,085 : x
  2. Step 2: Convert to fraction form
    276,979/612,085 = 612,085/x
  3. Step 3: Cross multiply
    276,979x = 612,085 × 612,085
  4. Step 4: Simplify right side
    276,979x = 374,648,047,225
  5. Step 5: Solve for x
    x = 374,648,047,225/276,979
  6. Step 6: Final answer
    x = 1,352,622.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.