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Finding the Third Proportional to 320,116.50 and 685,874.25

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Solution

The third proportional to 320,116.50 and 685,874.25 is: 1,469,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,116.50 : 685,874.25 = 685,874.25 : x
  2. Step 2: Convert to fraction form
    320,116.50/685,874.25 = 685,874.25/x
  3. Step 3: Cross multiply
    320,116.50x = 685,874.25 × 685,874.25
  4. Step 4: Simplify right side
    320,116.50x = 470,423,486,813.06
  5. Step 5: Solve for x
    x = 470,423,486,813.06/320,116.50
  6. Step 6: Final answer
    x = 1,469,538.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.