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Finding the Third Proportional to 378,960 and 810,429

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Solution

The third proportional to 378,960 and 810,429 is: 1,733,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,960 : 810,429 = 810,429 : x
  2. Step 2: Convert to fraction form
    378,960/810,429 = 810,429/x
  3. Step 3: Cross multiply
    378,960x = 810,429 × 810,429
  4. Step 4: Simplify right side
    378,960x = 656,795,164,041
  5. Step 5: Solve for x
    x = 656,795,164,041/378,960
  6. Step 6: Final answer
    x = 1,733,151.69

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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.