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Finding the Third Proportional to 321,376 and 613,591

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Solution

The third proportional to 321,376 and 613,591 is: 1,171,506.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,376 : 613,591 = 613,591 : x
  2. Step 2: Convert to fraction form
    321,376/613,591 = 613,591/x
  3. Step 3: Cross multiply
    321,376x = 613,591 × 613,591
  4. Step 4: Simplify right side
    321,376x = 376,493,915,281
  5. Step 5: Solve for x
    x = 376,493,915,281/321,376
  6. Step 6: Final answer
    x = 1,171,506.01

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.