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Finding the Third Proportional to 308,340 and 462,519

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Solution

The third proportional to 308,340 and 462,519 is: 693,792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,340 : 462,519 = 462,519 : x
  2. Step 2: Convert to fraction form
    308,340/462,519 = 462,519/x
  3. Step 3: Cross multiply
    308,340x = 462,519 × 462,519
  4. Step 4: Simplify right side
    308,340x = 213,923,825,361
  5. Step 5: Solve for x
    x = 213,923,825,361/308,340
  6. Step 6: Final answer
    x = 693,792.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.