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Finding the Third Proportional to 276,338 and 405,435

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Solution

The third proportional to 276,338 and 405,435 is: 594,842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,338 : 405,435 = 405,435 : x
  2. Step 2: Convert to fraction form
    276,338/405,435 = 405,435/x
  3. Step 3: Cross multiply
    276,338x = 405,435 × 405,435
  4. Step 4: Simplify right side
    276,338x = 164,377,539,225
  5. Step 5: Solve for x
    x = 164,377,539,225/276,338
  6. Step 6: Final answer
    x = 594,842.33

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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.