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Finding the Third Proportional to 300,783.75 and 668,808.75

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Solution

The third proportional to 300,783.75 and 668,808.75 is: 1,487,132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,783.75 : 668,808.75 = 668,808.75 : x
  2. Step 2: Convert to fraction form
    300,783.75/668,808.75 = 668,808.75/x
  3. Step 3: Cross multiply
    300,783.75x = 668,808.75 × 668,808.75
  4. Step 4: Simplify right side
    300,783.75x = 447,305,144,076.56
  5. Step 5: Solve for x
    x = 447,305,144,076.56/300,783.75
  6. Step 6: Final answer
    x = 1,487,132.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.