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Finding the Third Proportional to 429,228.75 and 664,320.75

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Solution

The third proportional to 429,228.75 and 664,320.75 is: 1,028,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,228.75 : 664,320.75 = 664,320.75 : x
  2. Step 2: Convert to fraction form
    429,228.75/664,320.75 = 664,320.75/x
  3. Step 3: Cross multiply
    429,228.75x = 664,320.75 × 664,320.75
  4. Step 4: Simplify right side
    429,228.75x = 441,322,058,880.56
  5. Step 5: Solve for x
    x = 441,322,058,880.56/429,228.75
  6. Step 6: Final answer
    x = 1,028,174.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.