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Finding the Third Proportional to 289,779.75 and 629,437.50

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Solution

The third proportional to 289,779.75 and 629,437.50 is: 1,367,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,779.75 : 629,437.50 = 629,437.50 : x
  2. Step 2: Convert to fraction form
    289,779.75/629,437.50 = 629,437.50/x
  3. Step 3: Cross multiply
    289,779.75x = 629,437.50 × 629,437.50
  4. Step 4: Simplify right side
    289,779.75x = 396,191,566,406.25
  5. Step 5: Solve for x
    x = 396,191,566,406.25/289,779.75
  6. Step 6: Final answer
    x = 1,367,216.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.