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Finding the Third Proportional to 312,896 and 664,576

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Solution

The third proportional to 312,896 and 664,576 is: 1,411,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,896 : 664,576 = 664,576 : x
  2. Step 2: Convert to fraction form
    312,896/664,576 = 664,576/x
  3. Step 3: Cross multiply
    312,896x = 664,576 × 664,576
  4. Step 4: Simplify right side
    312,896x = 441,661,259,776
  5. Step 5: Solve for x
    x = 441,661,259,776/312,896
  6. Step 6: Final answer
    x = 1,411,527.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.