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Finding the Third Proportional to 358,544 and 782,302

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Solution

The third proportional to 358,544 and 782,302 is: 1,706,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,544 : 782,302 = 782,302 : x
  2. Step 2: Convert to fraction form
    358,544/782,302 = 782,302/x
  3. Step 3: Cross multiply
    358,544x = 782,302 × 782,302
  4. Step 4: Simplify right side
    358,544x = 611,996,419,204
  5. Step 5: Solve for x
    x = 611,996,419,204/358,544
  6. Step 6: Final answer
    x = 1,706,893.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.