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Finding the Third Proportional to 303,993.42 and 665,122.22

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Solution

The third proportional to 303,993.42 and 665,122.22 is: 1,455,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,993.42 : 665,122.22 = 665,122.22 : x
  2. Step 2: Convert to fraction form
    303,993.42/665,122.22 = 665,122.22/x
  3. Step 3: Cross multiply
    303,993.42x = 665,122.22 × 665,122.22
  4. Step 4: Simplify right side
    303,993.42x = 442,387,565,874.92
  5. Step 5: Solve for x
    x = 442,387,565,874.92/303,993.42
  6. Step 6: Final answer
    x = 1,455,253.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.