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Finding the Third Proportional to 429,235.88 and 664,019.44

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Solution

The third proportional to 429,235.88 and 664,019.44 is: 1,027,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,235.88 : 664,019.44 = 664,019.44 : x
  2. Step 2: Convert to fraction form
    429,235.88/664,019.44 = 664,019.44/x
  3. Step 3: Cross multiply
    429,235.88x = 664,019.44 × 664,019.44
  4. Step 4: Simplify right side
    429,235.88x = 440,921,813,377.82
  5. Step 5: Solve for x
    x = 440,921,813,377.82/429,235.88
  6. Step 6: Final answer
    x = 1,027,224.98

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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.