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Finding the Third Proportional to 321,601.50 and 685,917

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Solution

The third proportional to 321,601.50 and 685,917 is: 1,462,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,601.50 : 685,917 = 685,917 : x
  2. Step 2: Convert to fraction form
    321,601.50/685,917 = 685,917/x
  3. Step 3: Cross multiply
    321,601.50x = 685,917 × 685,917
  4. Step 4: Simplify right side
    321,601.50x = 470,482,130,889
  5. Step 5: Solve for x
    x = 470,482,130,889/321,601.50
  6. Step 6: Final answer
    x = 1,462,935.13

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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.