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Finding the Third Proportional to 354,606 and 768,288

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Solution

The third proportional to 354,606 and 768,288 is: 1,664,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,606 : 768,288 = 768,288 : x
  2. Step 2: Convert to fraction form
    354,606/768,288 = 768,288/x
  3. Step 3: Cross multiply
    354,606x = 768,288 × 768,288
  4. Step 4: Simplify right side
    354,606x = 590,266,450,944
  5. Step 5: Solve for x
    x = 590,266,450,944/354,606
  6. Step 6: Final answer
    x = 1,664,569.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.