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Finding the Third Proportional to 276,339 and 405,443

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Solution

The third proportional to 276,339 and 405,443 is: 594,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,339 : 405,443 = 405,443 : x
  2. Step 2: Convert to fraction form
    276,339/405,443 = 405,443/x
  3. Step 3: Cross multiply
    276,339x = 405,443 × 405,443
  4. Step 4: Simplify right side
    276,339x = 164,384,026,249
  5. Step 5: Solve for x
    x = 164,384,026,249/276,339
  6. Step 6: Final answer
    x = 594,863.65

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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.