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Finding the Third Proportional to 505,946.25 and 769,279.50

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Solution

The third proportional to 505,946.25 and 769,279.50 is: 1,169,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,946.25 : 769,279.50 = 769,279.50 : x
  2. Step 2: Convert to fraction form
    505,946.25/769,279.50 = 769,279.50/x
  3. Step 3: Cross multiply
    505,946.25x = 769,279.50 × 769,279.50
  4. Step 4: Simplify right side
    505,946.25x = 591,790,949,120.25
  5. Step 5: Solve for x
    x = 591,790,949,120.25/505,946.25
  6. Step 6: Final answer
    x = 1,169,671.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.