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Finding the Third Proportional to 318,481.88 and 488,779.31

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Solution

The third proportional to 318,481.88 and 488,779.31 is: 750,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,481.88 : 488,779.31 = 488,779.31 : x
  2. Step 2: Convert to fraction form
    318,481.88/488,779.31 = 488,779.31/x
  3. Step 3: Cross multiply
    318,481.88x = 488,779.31 × 488,779.31
  4. Step 4: Simplify right side
    318,481.88x = 238,905,216,327.97
  5. Step 5: Solve for x
    x = 238,905,216,327.97/318,481.88
  6. Step 6: Final answer
    x = 750,137.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.