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Finding the Third Proportional to 154,932.75 and 323,779.78

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Solution

The third proportional to 154,932.75 and 323,779.78 is: 676,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,932.75 : 323,779.78 = 323,779.78 : x
  2. Step 2: Convert to fraction form
    154,932.75/323,779.78 = 323,779.78/x
  3. Step 3: Cross multiply
    154,932.75x = 323,779.78 × 323,779.78
  4. Step 4: Simplify right side
    154,932.75x = 104,833,346,746.30
  5. Step 5: Solve for x
    x = 104,833,346,746.30/154,932.75
  6. Step 6: Final answer
    x = 676,637.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.