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Finding the Third Proportional to 303,557 and 445,494

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Solution

The third proportional to 303,557 and 445,494 is: 653,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,557 : 445,494 = 445,494 : x
  2. Step 2: Convert to fraction form
    303,557/445,494 = 445,494/x
  3. Step 3: Cross multiply
    303,557x = 445,494 × 445,494
  4. Step 4: Simplify right side
    303,557x = 198,464,904,036
  5. Step 5: Solve for x
    x = 198,464,904,036/303,557
  6. Step 6: Final answer
    x = 653,797.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.