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Finding the Third Proportional to 313,825.50 and 685,966.50

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Solution

The third proportional to 313,825.50 and 685,966.50 is: 1,499,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,825.50 : 685,966.50 = 685,966.50 : x
  2. Step 2: Convert to fraction form
    313,825.50/685,966.50 = 685,966.50/x
  3. Step 3: Cross multiply
    313,825.50x = 685,966.50 × 685,966.50
  4. Step 4: Simplify right side
    313,825.50x = 470,550,039,122.25
  5. Step 5: Solve for x
    x = 470,550,039,122.25/313,825.50
  6. Step 6: Final answer
    x = 1,499,400.27

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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.