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Finding the Third Proportional to 313,287.75 and 418,571.30

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Solution

The third proportional to 313,287.75 and 418,571.30 is: 559,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,287.75 : 418,571.30 = 418,571.30 : x
  2. Step 2: Convert to fraction form
    313,287.75/418,571.30 = 418,571.30/x
  3. Step 3: Cross multiply
    313,287.75x = 418,571.30 × 418,571.30
  4. Step 4: Simplify right side
    313,287.75x = 175,201,930,567.62
  5. Step 5: Solve for x
    x = 175,201,930,567.62/313,287.75
  6. Step 6: Final answer
    x = 559,236.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.