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Finding the Third Proportional to 172,779.75 and 257,838.19

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Solution

The third proportional to 172,779.75 and 257,838.19 is: 384,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,779.75 : 257,838.19 = 257,838.19 : x
  2. Step 2: Convert to fraction form
    172,779.75/257,838.19 = 257,838.19/x
  3. Step 3: Cross multiply
    172,779.75x = 257,838.19 × 257,838.19
  4. Step 4: Simplify right side
    172,779.75x = 66,480,530,933.29
  5. Step 5: Solve for x
    x = 66,480,530,933.29/172,779.75
  6. Step 6: Final answer
    x = 384,770.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.