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Finding the Third Proportional to 322,146 and 685,764

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Solution

The third proportional to 322,146 and 685,764 is: 1,459,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,146 : 685,764 = 685,764 : x
  2. Step 2: Convert to fraction form
    322,146/685,764 = 685,764/x
  3. Step 3: Cross multiply
    322,146x = 685,764 × 685,764
  4. Step 4: Simplify right side
    322,146x = 470,272,263,696
  5. Step 5: Solve for x
    x = 470,272,263,696/322,146
  6. Step 6: Final answer
    x = 1,459,810.97

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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.