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Finding the Third Proportional to 276,593 and 427,173

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Solution

The third proportional to 276,593 and 427,173 is: 659,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,593 : 427,173 = 427,173 : x
  2. Step 2: Convert to fraction form
    276,593/427,173 = 427,173/x
  3. Step 3: Cross multiply
    276,593x = 427,173 × 427,173
  4. Step 4: Simplify right side
    276,593x = 182,476,771,929
  5. Step 5: Solve for x
    x = 182,476,771,929/276,593
  6. Step 6: Final answer
    x = 659,730.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.