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Finding the Third Proportional to 313,361.25 and 686,795.25

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Solution

The third proportional to 313,361.25 and 686,795.25 is: 1,505,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,361.25 : 686,795.25 = 686,795.25 : x
  2. Step 2: Convert to fraction form
    313,361.25/686,795.25 = 686,795.25/x
  3. Step 3: Cross multiply
    313,361.25x = 686,795.25 × 686,795.25
  4. Step 4: Simplify right side
    313,361.25x = 471,687,715,422.56
  5. Step 5: Solve for x
    x = 471,687,715,422.56/313,361.25
  6. Step 6: Final answer
    x = 1,505,252.21

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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.