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Finding the Third Proportional to 314,383 and 678,794

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Solution

The third proportional to 314,383 and 678,794 is: 1,465,604.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,383 : 678,794 = 678,794 : x
  2. Step 2: Convert to fraction form
    314,383/678,794 = 678,794/x
  3. Step 3: Cross multiply
    314,383x = 678,794 × 678,794
  4. Step 4: Simplify right side
    314,383x = 460,761,294,436
  5. Step 5: Solve for x
    x = 460,761,294,436/314,383
  6. Step 6: Final answer
    x = 1,465,604.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.