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Finding the Third Proportional to 276,340 and 405,438

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Solution

The third proportional to 276,340 and 405,438 is: 594,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,340 : 405,438 = 405,438 : x
  2. Step 2: Convert to fraction form
    276,340/405,438 = 405,438/x
  3. Step 3: Cross multiply
    276,340x = 405,438 × 405,438
  4. Step 4: Simplify right side
    276,340x = 164,379,971,844
  5. Step 5: Solve for x
    x = 164,379,971,844/276,340
  6. Step 6: Final answer
    x = 594,846.83

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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.