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Finding the Third Proportional to 313,816.50 and 644,170.50

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Solution

The third proportional to 313,816.50 and 644,170.50 is: 1,322,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,816.50 : 644,170.50 = 644,170.50 : x
  2. Step 2: Convert to fraction form
    313,816.50/644,170.50 = 644,170.50/x
  3. Step 3: Cross multiply
    313,816.50x = 644,170.50 × 644,170.50
  4. Step 4: Simplify right side
    313,816.50x = 414,955,633,070.25
  5. Step 5: Solve for x
    x = 414,955,633,070.25/313,816.50
  6. Step 6: Final answer
    x = 1,322,287.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.