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Finding the Third Proportional to 271,433 and 445,895

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Solution

The third proportional to 271,433 and 445,895 is: 732,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,433 : 445,895 = 445,895 : x
  2. Step 2: Convert to fraction form
    271,433/445,895 = 445,895/x
  3. Step 3: Cross multiply
    271,433x = 445,895 × 445,895
  4. Step 4: Simplify right side
    271,433x = 198,822,351,025
  5. Step 5: Solve for x
    x = 198,822,351,025/271,433
  6. Step 6: Final answer
    x = 732,491.45

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.