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Finding the Third Proportional to 276,297 and 405,378

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Solution

The third proportional to 276,297 and 405,378 is: 594,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,297 : 405,378 = 405,378 : x
  2. Step 2: Convert to fraction form
    276,297/405,378 = 405,378/x
  3. Step 3: Cross multiply
    276,297x = 405,378 × 405,378
  4. Step 4: Simplify right side
    276,297x = 164,331,322,884
  5. Step 5: Solve for x
    x = 164,331,322,884/276,297
  6. Step 6: Final answer
    x = 594,763.33

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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.