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Finding the Third Proportional to 411,977 and 637,569

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Solution

The third proportional to 411,977 and 637,569 is: 986,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,977 : 637,569 = 637,569 : x
  2. Step 2: Convert to fraction form
    411,977/637,569 = 637,569/x
  3. Step 3: Cross multiply
    411,977x = 637,569 × 637,569
  4. Step 4: Simplify right side
    411,977x = 406,494,229,761
  5. Step 5: Solve for x
    x = 406,494,229,761/411,977
  6. Step 6: Final answer
    x = 986,691.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.