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Finding the Third Proportional to 316,568.25 and 677,423.25

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Solution

The third proportional to 316,568.25 and 677,423.25 is: 1,449,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,568.25 : 677,423.25 = 677,423.25 : x
  2. Step 2: Convert to fraction form
    316,568.25/677,423.25 = 677,423.25/x
  3. Step 3: Cross multiply
    316,568.25x = 677,423.25 × 677,423.25
  4. Step 4: Simplify right side
    316,568.25x = 458,902,259,640.56
  5. Step 5: Solve for x
    x = 458,902,259,640.56/316,568.25
  6. Step 6: Final answer
    x = 1,449,615.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.