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Finding the Third Proportional to 379,304 and 810,448

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Solution

The third proportional to 379,304 and 810,448 is: 1,731,661.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,304 : 810,448 = 810,448 : x
  2. Step 2: Convert to fraction form
    379,304/810,448 = 810,448/x
  3. Step 3: Cross multiply
    379,304x = 810,448 × 810,448
  4. Step 4: Simplify right side
    379,304x = 656,825,960,704
  5. Step 5: Solve for x
    x = 656,825,960,704/379,304
  6. Step 6: Final answer
    x = 1,731,661.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.