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Finding the Third Proportional to 313,740 and 644,159.25

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Solution

The third proportional to 313,740 and 644,159.25 is: 1,322,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,740 : 644,159.25 = 644,159.25 : x
  2. Step 2: Convert to fraction form
    313,740/644,159.25 = 644,159.25/x
  3. Step 3: Cross multiply
    313,740x = 644,159.25 × 644,159.25
  4. Step 4: Simplify right side
    313,740x = 414,941,139,360.56
  5. Step 5: Solve for x
    x = 414,941,139,360.56/313,740
  6. Step 6: Final answer
    x = 1,322,563.71

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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.