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Finding the Third Proportional to 320,231.25 and 689,946.75

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Solution

The third proportional to 320,231.25 and 689,946.75 is: 1,486,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,231.25 : 689,946.75 = 689,946.75 : x
  2. Step 2: Convert to fraction form
    320,231.25/689,946.75 = 689,946.75/x
  3. Step 3: Cross multiply
    320,231.25x = 689,946.75 × 689,946.75
  4. Step 4: Simplify right side
    320,231.25x = 476,026,517,835.56
  5. Step 5: Solve for x
    x = 476,026,517,835.56/320,231.25
  6. Step 6: Final answer
    x = 1,486,508.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.