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Finding the Third Proportional to 303,515.86 and 655,660.83

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Solution

The third proportional to 303,515.86 and 655,660.83 is: 1,416,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,515.86 : 655,660.83 = 655,660.83 : x
  2. Step 2: Convert to fraction form
    303,515.86/655,660.83 = 655,660.83/x
  3. Step 3: Cross multiply
    303,515.86x = 655,660.83 × 655,660.83
  4. Step 4: Simplify right side
    303,515.86x = 429,891,121,537.56
  5. Step 5: Solve for x
    x = 429,891,121,537.56/303,515.86
  6. Step 6: Final answer
    x = 1,416,371.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.