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Finding the Third Proportional to 429,441.75 and 679,893.75

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Solution

The third proportional to 429,441.75 and 679,893.75 is: 1,076,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,441.75 : 679,893.75 = 679,893.75 : x
  2. Step 2: Convert to fraction form
    429,441.75/679,893.75 = 679,893.75/x
  3. Step 3: Cross multiply
    429,441.75x = 679,893.75 × 679,893.75
  4. Step 4: Simplify right side
    429,441.75x = 462,255,511,289.06
  5. Step 5: Solve for x
    x = 462,255,511,289.06/429,441.75
  6. Step 6: Final answer
    x = 1,076,410.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.