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Finding the Third Proportional to 303,995 and 454,291

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Solution

The third proportional to 303,995 and 454,291 is: 678,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,995 : 454,291 = 454,291 : x
  2. Step 2: Convert to fraction form
    303,995/454,291 = 454,291/x
  3. Step 3: Cross multiply
    303,995x = 454,291 × 454,291
  4. Step 4: Simplify right side
    303,995x = 206,380,312,681
  5. Step 5: Solve for x
    x = 206,380,312,681/303,995
  6. Step 6: Final answer
    x = 678,893.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.