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Finding the Third Proportional to 312,768 and 669,822

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Solution

The third proportional to 312,768 and 669,822 is: 1,434,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,768 : 669,822 = 669,822 : x
  2. Step 2: Convert to fraction form
    312,768/669,822 = 669,822/x
  3. Step 3: Cross multiply
    312,768x = 669,822 × 669,822
  4. Step 4: Simplify right side
    312,768x = 448,661,511,684
  5. Step 5: Solve for x
    x = 448,661,511,684/312,768
  6. Step 6: Final answer
    x = 1,434,486.62

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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.