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Finding the Third Proportional to 293,383 and 642,764

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Solution

The third proportional to 293,383 and 642,764 is: 1,408,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,383 : 642,764 = 642,764 : x
  2. Step 2: Convert to fraction form
    293,383/642,764 = 642,764/x
  3. Step 3: Cross multiply
    293,383x = 642,764 × 642,764
  4. Step 4: Simplify right side
    293,383x = 413,145,559,696
  5. Step 5: Solve for x
    x = 413,145,559,696/293,383
  6. Step 6: Final answer
    x = 1,408,212.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.