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Finding the Third Proportional to 485,763.75 and 679,286.25

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Solution

The third proportional to 485,763.75 and 679,286.25 is: 949,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,763.75 : 679,286.25 = 679,286.25 : x
  2. Step 2: Convert to fraction form
    485,763.75/679,286.25 = 679,286.25/x
  3. Step 3: Cross multiply
    485,763.75x = 679,286.25 × 679,286.25
  4. Step 4: Simplify right side
    485,763.75x = 461,429,809,439.06
  5. Step 5: Solve for x
    x = 461,429,809,439.06/485,763.75
  6. Step 6: Final answer
    x = 949,905.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.