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Finding the Third Proportional to 313,904 and 679,962

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Solution

The third proportional to 313,904 and 679,962 is: 1,472,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,904 : 679,962 = 679,962 : x
  2. Step 2: Convert to fraction form
    313,904/679,962 = 679,962/x
  3. Step 3: Cross multiply
    313,904x = 679,962 × 679,962
  4. Step 4: Simplify right side
    313,904x = 462,348,321,444
  5. Step 5: Solve for x
    x = 462,348,321,444/313,904
  6. Step 6: Final answer
    x = 1,472,897.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.