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Finding the Third Proportional to 411,977 and 637,568

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Solution

The third proportional to 411,977 and 637,568 is: 986,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,977 : 637,568 = 637,568 : x
  2. Step 2: Convert to fraction form
    411,977/637,568 = 637,568/x
  3. Step 3: Cross multiply
    411,977x = 637,568 × 637,568
  4. Step 4: Simplify right side
    411,977x = 406,492,954,624
  5. Step 5: Solve for x
    x = 406,492,954,624/411,977
  6. Step 6: Final answer
    x = 986,688.47

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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.