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Finding the Third Proportional to 291,223 and 445,875

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Solution

The third proportional to 291,223 and 445,875 is: 682,653.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,223 : 445,875 = 445,875 : x
  2. Step 2: Convert to fraction form
    291,223/445,875 = 445,875/x
  3. Step 3: Cross multiply
    291,223x = 445,875 × 445,875
  4. Step 4: Simplify right side
    291,223x = 198,804,515,625
  5. Step 5: Solve for x
    x = 198,804,515,625/291,223
  6. Step 6: Final answer
    x = 682,653.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.