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Finding the Third Proportional to 312,786 and 669,861

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Solution

The third proportional to 312,786 and 669,861 is: 1,434,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,786 : 669,861 = 669,861 : x
  2. Step 2: Convert to fraction form
    312,786/669,861 = 669,861/x
  3. Step 3: Cross multiply
    312,786x = 669,861 × 669,861
  4. Step 4: Simplify right side
    312,786x = 448,713,759,321
  5. Step 5: Solve for x
    x = 448,713,759,321/312,786
  6. Step 6: Final answer
    x = 1,434,571.11

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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.