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Finding the Third Proportional to 505,323.50 and 739,134.75

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Solution

The third proportional to 505,323.50 and 739,134.75 is: 1,081,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,323.50 : 739,134.75 = 739,134.75 : x
  2. Step 2: Convert to fraction form
    505,323.50/739,134.75 = 739,134.75/x
  3. Step 3: Cross multiply
    505,323.50x = 739,134.75 × 739,134.75
  4. Step 4: Simplify right side
    505,323.50x = 546,320,178,657.56
  5. Step 5: Solve for x
    x = 546,320,178,657.56/505,323.50
  6. Step 6: Final answer
    x = 1,081,129.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.