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Finding the Third Proportional to 225,813.75 and 309,639

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Solution

The third proportional to 225,813.75 and 309,639 is: 424,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,813.75 : 309,639 = 309,639 : x
  2. Step 2: Convert to fraction form
    225,813.75/309,639 = 309,639/x
  3. Step 3: Cross multiply
    225,813.75x = 309,639 × 309,639
  4. Step 4: Simplify right side
    225,813.75x = 95,876,310,321
  5. Step 5: Solve for x
    x = 95,876,310,321/225,813.75
  6. Step 6: Final answer
    x = 424,581.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.