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Finding the Third Proportional to 271,052 and 594,448

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Solution

The third proportional to 271,052 and 594,448 is: 1,303,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,052 : 594,448 = 594,448 : x
  2. Step 2: Convert to fraction form
    271,052/594,448 = 594,448/x
  3. Step 3: Cross multiply
    271,052x = 594,448 × 594,448
  4. Step 4: Simplify right side
    271,052x = 353,368,424,704
  5. Step 5: Solve for x
    x = 353,368,424,704/271,052
  6. Step 6: Final answer
    x = 1,303,692.37

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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.