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Finding the Third Proportional to 278,966 and 405,489

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Solution

The third proportional to 278,966 and 405,489 is: 589,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,966 : 405,489 = 405,489 : x
  2. Step 2: Convert to fraction form
    278,966/405,489 = 405,489/x
  3. Step 3: Cross multiply
    278,966x = 405,489 × 405,489
  4. Step 4: Simplify right side
    278,966x = 164,421,329,121
  5. Step 5: Solve for x
    x = 164,421,329,121/278,966
  6. Step 6: Final answer
    x = 589,395.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.