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Finding the Third Proportional to 321,564 and 685,836

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Solution

The third proportional to 321,564 and 685,836 is: 1,462,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,564 : 685,836 = 685,836 : x
  2. Step 2: Convert to fraction form
    321,564/685,836 = 685,836/x
  3. Step 3: Cross multiply
    321,564x = 685,836 × 685,836
  4. Step 4: Simplify right side
    321,564x = 470,371,018,896
  5. Step 5: Solve for x
    x = 470,371,018,896/321,564
  6. Step 6: Final answer
    x = 1,462,760.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.