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Finding the Third Proportional to 353,947 and 764,243

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Solution

The third proportional to 353,947 and 764,243 is: 1,650,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,947 : 764,243 = 764,243 : x
  2. Step 2: Convert to fraction form
    353,947/764,243 = 764,243/x
  3. Step 3: Cross multiply
    353,947x = 764,243 × 764,243
  4. Step 4: Simplify right side
    353,947x = 584,067,363,049
  5. Step 5: Solve for x
    x = 584,067,363,049/353,947
  6. Step 6: Final answer
    x = 1,650,154.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.